𝑨=𝒃𝒉𝑨=(𝟏𝟎)(𝟖)𝑨=𝟖𝟎𝒄𝒎 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝑨=𝟏𝟐𝒃𝒉

𝑨=𝟏𝟐

(𝟓)(𝟒 .𝟑𝟑)

𝑨=𝟏𝟎 .𝟖𝟐𝟓 𝒇𝒕 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝑨=𝒃𝒉𝑨=(𝟏𝟑)(𝟏𝟏)𝑨=𝟏𝟒𝟑 𝒇𝒕 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝑨=𝟏𝟐𝒃𝒉

𝑨=𝟏𝟐

(𝟏𝟕)(𝟏𝟐)

𝑨=𝟏𝟎𝟐𝒎 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝒄𝟐=𝒂𝟐+𝒃𝟐

(𝟐𝟔)𝟐=(𝟐𝟒)𝟐+𝒃𝟐

𝟔𝟕𝟔=𝟓𝟕𝟔+𝒃𝟐

𝟏𝟎𝟎=𝒃𝟐

𝟏𝟎=𝒃

𝑨=𝟏𝟐𝒃𝒉

𝑨=𝟏𝟐

(𝟏𝟎)(𝟐𝟒)

𝑨=𝟏𝟐𝟎𝒚𝒅 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝟒

𝟒𝟓°

𝟒𝟓°

6¿𝒏√𝟐𝒏

𝒏

𝟑√𝟐

𝟔√𝟐

𝟐𝟒√𝟐

𝑨=𝟏𝟐

(𝟑√𝟐)(𝟐𝟒 √𝟐)

𝑨=𝟏𝟐

(𝟑 ∙𝟐𝟒)(√𝟐∙√𝟐)

𝑨=𝟏𝟐

(𝟕𝟐)(𝟐)

𝑨=𝟕𝟐𝒄𝒎 ²

𝑨=𝟏𝟐𝒂𝒑

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝑨=𝟏𝟐𝒉(𝒃𝟏+𝒃𝟐)

𝑨=𝟏𝟐

(𝟑)(𝟒+𝟔)

𝑨=𝟏𝟐

(𝟑)(𝟏𝟎)

𝑨=𝟏𝟓 𝒊𝒏 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝟓

𝟔𝟎°

𝟔𝟎° 𝟔𝟎°

𝑨=𝟏𝟐𝒃𝒉𝟑𝟎°

¿𝟐𝒏

𝒏

𝒏√𝟑

𝟐 .𝟓√𝟑

𝑨=𝟏𝟐

(𝟓)(𝟐 .𝟓√𝟑)

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝟔𝟎°

𝟔𝟎° 𝟔𝟎°

𝑨=𝟏𝟐𝒂𝒑

𝟑𝟎°𝟑𝟎°

𝟏𝟐𝟎°𝟔𝟎°𝒏

𝒏√𝟑¿𝟐 .𝟓

𝟑

𝟐 .𝟓√𝟑𝟑

𝟓

𝟏𝟓

𝑨=𝟏𝟐

(𝟐 .𝟓√𝟑𝟑

)(𝟏𝟓)

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝟑𝟎°

𝟔𝟎°𝒏

𝒏√𝟑

𝒏

𝟔𝟖√𝟑𝟑

𝟏𝟔√𝟑𝟒

𝑨=𝟏𝟐𝒂𝒑

𝑨=𝟏𝟐

(𝟒)(𝟏𝟔√𝟑)

𝑨=𝟑𝟐√𝟑 𝒇𝒕 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝑨=𝟏𝟐𝒅𝟏𝒅𝟏

𝑨=𝟏𝟐

(𝟏𝟐)(𝟖)

𝑨=𝟒𝟖𝒄𝒎²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝑨=𝟏𝟐𝒅𝟏𝒅𝟏

𝑨=𝟏𝟐

(𝟔)(𝟔)

𝑨=𝟏𝟖𝒚𝒅 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝑷𝒆𝒓𝒊𝒎𝒆𝒕𝒆𝒓=𝟓𝟖

𝑨𝒓𝒆𝒂=𝟓𝟐

𝟖𝟐

¿𝟐𝟓𝟔𝟒

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝑷𝒆𝒓𝒊𝒎𝒆𝒕𝒆𝒓=𝟔𝟖

𝑨𝒓𝒆𝒂=𝟑𝟐

𝟒𝟐¿𝟗𝟏𝟔

¿𝟑𝟒

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

𝑷𝒆𝒓𝒊𝒎𝒆𝒕𝒆𝒓=𝟓𝟏𝟔

𝑨𝒓𝒆𝒂= 𝟓𝟐

𝟏𝟔𝟐¿𝟐𝟓𝟐𝟓𝟔

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test ReviewLesson 10-5 Trigonometry and Area

Find the area of each regular polygon. Round your answers to the nearest tenth.

16.nonagon with radius 6 ft.

𝑨=𝟏𝟐𝒂𝒑

𝟗

𝟔𝟔

𝟑𝟔𝟎𝟗

=𝟒𝟎°

𝟐𝟎°

𝒂

𝒔𝒙𝒙

𝐜𝐨𝐬𝟐𝟎°=𝒂𝟔

𝐬𝐢𝐧𝟐𝟎°=𝒙𝟔

𝒂=𝟔𝐜𝐨𝐬𝟐𝟎° 𝒙=𝟐¿

𝟒 .𝟏𝟎𝟒𝟐

𝟑𝟔 .𝟗𝟑𝟖𝟏𝟓 .𝟔𝟑𝟖𝟏

𝑨=𝟏𝟐

(𝟓 .𝟔𝟒 )(𝟑𝟔 .𝟗)

𝑨=𝟏𝟎𝟒 .𝟏 𝒇𝒕 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test ReviewLesson 10-5 Trigonometry and Area

Find the area of each regular polygon. Round your answers to the nearest tenth.

17.decagon with radius 5 mm

𝑨=𝟏𝟐𝒂𝒑

𝟏𝟎

𝟓𝟓

𝟑𝟔𝟎𝟏𝟎

=𝟑𝟔°𝟏𝟖°

𝒂

𝒔𝒙𝒙

𝐜𝐨𝐬𝟏𝟖°=𝒂𝟓 𝐬𝐢𝐧𝟏𝟖°=

𝒙𝟓

𝒂=𝟓𝐜𝐨𝐬𝟏𝟖° 𝒙=𝟐¿

𝟑 .𝟎𝟗𝟎𝟏

𝟑𝟎 .𝟗𝟎𝟏𝟔𝟒 .𝟕𝟓𝟓𝟐

𝑨=𝟏𝟐

(𝟒 .𝟕𝟔)(𝟑𝟎 .𝟗)

𝑨=𝟕𝟑 .𝟓𝒎𝒎²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

Find the area of each triangle. Round your answers to the nearest tenth.

18. 𝑨=𝟏𝟐∙ 𝒔 ∙𝒔 ∙𝐬𝐢𝐧 (𝒊𝒏𝒄𝒍𝒖𝒅𝒆𝒅 𝒂𝒏𝒈𝒍𝒆)

𝑨=𝟏𝟐∙𝟔 ∙𝟒 ∙𝐬𝐢𝐧(𝟔𝟖°)

𝑨=𝟏𝟏 .𝟏𝒎 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

Find the area of each triangle. Round your answers to the nearest tenth.

19. 𝑨=𝟏𝟐∙ 𝒔 ∙𝒔 ∙𝐬𝐢𝐧 (𝒊𝒏𝒄𝒍𝒖𝒅𝒆𝒅 𝒂𝒏𝒈𝒍𝒆)

𝑨=𝟏𝟐∙𝟏𝟐 ∙𝟏𝟏 ∙𝐬𝐢𝐧(𝟑𝟑°)

𝑨=𝟑𝟓 .𝟗 𝒊𝒏 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

Find the area of each triangle. Round your answers to the nearest tenth.

20. 𝑨=𝟏𝟐∙ 𝒔 ∙𝒔 ∙𝐬𝐢𝐧 (𝒊𝒏𝒄𝒍𝒖𝒅𝒆𝒅 𝒂𝒏𝒈𝒍𝒆)

𝑨=𝟏𝟐∙𝟖 ∙𝟒 .𝟓 ∙𝐬𝐢𝐧(𝟗𝟗° )

𝑨=𝟏𝟕 .𝟖𝒄𝒎 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

Find the perimeter and area of each regular polygon to the nearest tenth.

21.

𝟑

𝟑𝟔𝟎𝟑

=𝟏𝟐𝟎 °

𝟔𝟎°𝟑𝟎°

𝒏𝒏√𝟑

𝟐𝒏

𝟑

𝟔√𝟑

𝟏𝟖√𝟑

𝑨=𝟏𝟐𝒂𝒑

𝑨=𝟏𝟐

(𝟑)(𝟏𝟖√𝟑)

𝑨=𝟒𝟔 .𝟖 𝒊𝒏 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

Find the perimeter and area of each regular polygon to the nearest tenth.

22.

𝟔

𝟑𝟔𝟎𝟔

=𝟔𝟎°

𝟑𝟎°𝟔𝟎°𝒏

𝒏√𝟑𝟐𝒏

𝟔√𝟑

𝟏𝟐

𝟕𝟐

𝑨=𝟏𝟐𝒂𝒑

𝑨=𝟏𝟐

(𝟔√𝟑)(𝟕𝟐)

𝑨=𝟑𝟕𝟒 .𝟏 𝒊𝒏 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

Find the perimeter and area of each regular polygon to the nearest tenth.

23.

𝟓

𝟑𝟔𝟎𝟓

=𝟕𝟐°

𝟑𝟔°

𝑨=𝟏𝟐𝒂𝒑

𝒂

𝒔𝒙𝒙

𝐜𝐨𝐬𝟑𝟔°=𝒂𝟏𝟔

𝐬𝐢𝐧𝟑𝟔°=𝒙𝟏𝟔

𝒂=𝟏𝟔𝐜𝐨𝐬𝟑𝟔° 𝒙=𝟐¿𝟏𝟖 .𝟖𝟎𝟗𝟏

𝟗𝟒 .𝟎𝟒𝟓𝟔𝟏𝟐 .𝟗𝟒𝟒𝟐

𝑨=𝟏𝟐

(𝟏𝟐 .𝟗𝟒𝟒𝟐)(𝟗𝟒 .𝟎𝟒𝟓𝟔)

𝑨=𝟔𝟎𝟖 .𝟕 𝒊𝒏 ²

𝒄=𝟐𝝅 𝒓

𝒅=𝟔𝒄𝒎𝒓=𝟑𝒄𝒎

𝒄=𝟐𝝅 (𝟑)𝒄=𝟔𝝅

𝑳 𝑨𝒓𝒄=𝒎𝑨𝒓𝒄𝟑𝟔𝟎

∙𝟐𝝅𝒓

𝒎𝑨𝒓𝒄=𝟏𝟐𝟎°

𝑳 𝑨𝒓𝒄=𝟏𝟐𝟎𝟑𝟔𝟎

∙𝟐𝝅 (𝟑)

𝑳 𝑨𝒓𝒄=𝟏𝟑∙𝟔𝝅

𝑳 𝑨𝒓𝒄=𝟐𝝅

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

24.

𝒄=𝟐𝝅 𝒓

𝒅=𝟐𝟎 𝒇𝒕𝒓=𝟏𝟎 𝒇𝒕

𝒄=𝟐𝝅 (𝟏𝟎)𝒄=𝟐𝟎𝝅

𝑳 𝑨𝒓𝒄=𝒎𝑨𝒓𝒄𝟑𝟔𝟎

∙𝟐𝝅𝒓

𝒎𝑨𝒓𝒄=𝟑𝟎°

𝑳 𝑨𝒓𝒄=𝟑𝟎𝟑𝟔𝟎

∙𝟐𝝅 (𝟏𝟎)

𝑳 𝑨𝒓𝒄=𝟏𝟏𝟐

∙𝟐𝟎𝝅

𝑳 𝑨𝒓𝒄=𝟐𝟎𝟏𝟐

𝝅¿𝟓𝟑𝝅

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

25.

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

26. 𝒄=𝟐𝝅 𝒓

𝒓=𝟗𝒄𝒎

𝒄=𝟐𝝅 (𝟗)𝒄=𝟏𝟖𝝅

𝑳 𝑨𝒓𝒄=𝒎𝑨𝒓𝒄𝟑𝟔𝟎

∙𝟐𝝅𝒓

𝒎𝑨𝒓𝒄=𝟗𝟎°

𝑳 𝑨𝒓𝒄=𝟗𝟎𝟑𝟔𝟎

∙𝟐𝝅 (𝟗)

𝑳 𝑨𝒓𝒄=𝟏𝟒∙𝟏𝟖𝝅

𝑳 𝑨𝒓𝒄=𝟏𝟖𝟒

𝝅¿𝟗𝟐𝝅

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

27. 𝒄=𝟐𝝅 𝒓

𝒓=𝟓 𝒊𝒏

𝒄=𝟐𝝅 (𝟓)𝒄=𝟏𝟎𝝅

𝑳 𝑨𝒓𝒄=𝒎𝑨𝒓𝒄𝟑𝟔𝟎

∙𝟐𝝅𝒓

𝒎𝑨𝒓𝒄=𝟐𝟐𝟓°

𝑳 𝑨𝒓𝒄=𝟐𝟐𝟓𝟑𝟔𝟎

∙𝟐𝝅 (𝟓)

𝑳 𝑨𝒓𝒄=𝟐𝟓𝟒𝟎

∙𝟏𝟎𝝅

𝑳 𝑨𝒓𝒄=𝟐𝟓𝟎𝟒𝟎

𝝅¿𝟐𝟓𝟒

𝝅

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

28. 𝒄=𝟐𝝅 𝒓

𝒅=𝟏𝟓𝒎𝒓=𝟕 .𝟓𝒎

𝒄=𝟐𝝅 (𝟕 .𝟓)𝒄=𝟏𝟓𝝅

𝑳 𝑨𝒓𝒄=𝒎𝑨𝒓𝒄𝟑𝟔𝟎

∙𝟐𝝅𝒓

𝒎𝑨𝒓𝒄=𝟏𝟑𝟓°

𝑳 𝑨𝒓𝒄=𝟏𝟑𝟓𝟑𝟔𝟎

∙𝟐𝝅 (𝟕 .𝟓)

𝑳 𝑨𝒓𝒄=𝟗𝟐𝟒

∙𝟏𝟓𝝅

𝑳 𝑨𝒓𝒄=𝟏𝟑𝟓𝟐𝟒

𝝅¿𝟒𝟓𝟖

𝝅

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

29. 𝒄=𝟐𝝅 𝒓

𝒓=𝟒 𝒇𝒕

𝒄=𝟐𝝅 (𝟒)𝒄=𝟖𝝅

𝑳 𝑨𝒓𝒄=𝒎𝑨𝒓𝒄𝟑𝟔𝟎

∙𝟐𝝅𝒓

𝒎𝑨𝒓𝒄=𝟐𝟏𝟔°

𝑳 𝑨𝒓𝒄=𝟐𝟏𝟔𝟑𝟔𝟎

∙𝟐𝝅 (𝟒)

𝑳 𝑨𝒓𝒄=𝟑𝟓∙𝟖𝝅

𝑳𝑨𝒓𝒄=𝟐𝟒𝟓

𝝅

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

30.

𝒓=𝟎 .𝟑𝟑𝒎 𝒄=𝟐𝝅 𝒓𝒄=𝟐𝝅 (𝟎 .𝟑𝟑)𝒄=𝟎 .𝟔𝟔𝝅𝒄=𝟐 .𝟎𝟕𝟑𝟒𝒎

𝟏𝒌𝒎=𝟏𝟎𝟎𝟎𝒎

𝟏𝟎𝟎𝟎𝒎  𝟐 .𝟎𝟕𝟑𝟒𝒎

=𝟒𝟖𝟐 .𝟐𝟗𝟗𝟔

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

31. 𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝒎𝑨𝒓𝒄𝟑𝟔𝟎

∙𝝅𝒓 ²

𝒓=𝟕 𝒇𝒕

𝒎𝑨𝒓𝒄=𝟑𝟔𝟎−𝟐𝟒𝟎=𝟏𝟐𝟎

𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝟏𝟐𝟎𝟑𝟔𝟎

∙𝝅 (𝟕) ²

𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝟏𝟑∙𝟒𝟗𝝅

𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝟒𝟗𝟑

𝝅 𝒇𝒕 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

32. 𝑨𝒐𝒇 𝑺𝒆𝒈 .=𝒎𝑨𝒓𝒄𝟑𝟔𝟎

∙𝝅𝒓 2−𝟏𝟐𝒓 2𝒔𝒊𝒏(𝒎𝑨𝒓𝒄)

𝒓=𝟔 𝒊𝒏

𝒎𝑨𝒓𝒄=𝟏𝟖𝟎−𝟔𝟎=𝟏𝟐𝟎

¿𝟏𝟐𝟎𝟑𝟔𝟎

∙𝝅 (𝟔)2−𝟏𝟐

(𝟔)2𝒔𝒊𝒏(𝟏𝟐𝟎)

¿𝟏𝟑∙𝟑𝟔𝝅−

𝟏𝟐𝟑𝟔 𝒔𝒊𝒏(𝟏𝟐𝟎 )

¿𝟏𝟐𝝅 −𝟗√𝟑

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

33. 𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝒎𝑨𝒓𝒄𝟑𝟔𝟎

∙𝝅𝒓 ²

𝒓=𝟗𝒄𝒎

𝒎𝑨𝒓𝒄=𝟏𝟖𝟎−𝟏𝟑𝟓=𝟒𝟓

𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝟒𝟓𝟑𝟔𝟎

∙𝝅 (𝟗) ²

𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝟏𝟖∙𝟖𝟏𝝅

𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝟖𝟏𝟖

𝝅 𝒄𝒎 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

34. 𝑨𝒐𝒇 𝑺𝒆𝒈 .=𝒎𝑨𝒓𝒄𝟑𝟔𝟎

∙𝝅𝒓 2−𝟏𝟐𝒓 2𝒔𝒊𝒏(𝒎𝑨𝒓𝒄)

𝒓=𝟒 𝒊𝒏

𝒎𝑨𝒓𝒄=𝟏𝟖𝟎−𝟗𝟎=𝟗𝟎

¿𝟗𝟎𝟑𝟔𝟎

∙𝝅 (𝟒 )2−𝟏𝟐

(𝟒)2 𝒔𝒊𝒏(𝟗𝟎)

¿𝟏𝟒∙𝟏𝟔𝝅 −

𝟏𝟐𝟏𝟔 𝒔𝒊𝒏(𝟗𝟎)

¿𝟒𝝅 −𝟖

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

35. 𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝒎𝑨𝒓𝒄𝟑𝟔𝟎

∙𝝅𝒓 ²

𝒓=𝟗𝒄𝒎

𝒎𝑨𝒓𝒄=𝟑𝟔𝟎−𝟐𝟎𝟎=𝟏𝟔𝟎

𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝟏𝟔𝟎𝟑𝟔𝟎

∙𝝅 (𝟗) ²

𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝟒𝟗∙𝟖𝟏𝝅

𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝟑𝟔𝝅 𝒚𝒅 ²

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

36. 𝑨𝒐𝒇 𝑺𝒆𝒈 .=𝒎𝑨𝒓𝒄𝟑𝟔𝟎

∙𝝅𝒓 2−𝟏𝟐𝒓 2𝒔𝒊𝒏(𝒎𝑨𝒓𝒄)

𝒓=𝟒𝒎𝒎

𝒎𝑨𝒓𝒄=𝟏𝟖𝟎−𝟔𝟎=𝟏𝟐𝟎

¿𝟏𝟐𝟎𝟑𝟔𝟎

∙𝝅 (𝟒 )2−𝟏𝟐

(𝟒)2 𝒔𝒊𝒏(𝟏𝟐𝟎)

¿𝟏𝟑∙𝟏𝟔𝝅−

𝟏𝟐𝟏𝟔 𝒔𝒊𝒏(𝟏𝟐𝟎 )

¿𝟏𝟔𝟑

𝝅 −𝟒 √𝟑

Homework Mrs. Rivas

International Studies Charter

School

Chapter 10 Test Review

37.

𝒓=𝟕 𝒊𝒏

𝒎𝑨𝒓𝒄=𝟑𝟔𝟎÷𝟔=𝟔𝟎

𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝒎𝑨𝒓𝒄𝟑𝟔𝟎

∙𝝅𝒓 ²

𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝟔𝟎𝟑𝟔𝟎

∙𝝅 (𝟕) ²

𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝟏𝟔∙𝟒𝟗𝝅

𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝟐𝟓 .𝟔𝟓𝟓𝟑𝑨𝒐𝒇 𝑺𝒆𝒄 .=𝟐𝟔𝒊𝒏 ²