JeopardyCircumference Proportion Inscribed

anglesAdding Angles

Together Random

Q $100

Q $200

Q $300

Q $400

Q $500

Q $100 Q $100Q $100 Q $100

Q $200 Q $200 Q $200 Q $200

Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500

$100 Question from Circumference

Find the circumference of the circle.

$100 Answer from Circumference

(diameter * 3.14)

8 * 3.14 = 25.12”

$200 Question from Circumference

Find the circumference of the circle.

$200 Answer from Circumference

Diameter= radius*23*2=6

(diameter * 3.14)

6 * 3.14 = 18.84 cm

$300 Question from Circumference

• A square is circumscribed inside a circle. What is the circumference of the circle? Use 3.14 for pi.

$300 Answer from Circumference

A2 + B2 = C2

52 + 52 = C2

25 + 25 = C2

50 = C2

C = (diameter)

(diameter * 3.14)

7.07 * 3.14 = 22.199 inches

$400 Question from Circumference

• A square is circumscribed inside a circle. What is the circumference of the circle? Use 3.14 for pi.

$400 Answer from Circumference

A2 + B2 = C2

6.52 + 6.52 = C2

42.25 + 42.25 = C2

84.5 = C2

C = (diameter)

(diameter * 3.14)

9.19 * 3.14 = 28.8566 meters

$500 Question from Circumference

A square is circumscribed inside a circle. What is the circumference of the circle? Use 3.14 for pi.

$500 Answer from Circumference

A2 + B2 = C2

34.72 + 34.72 = C2

1204.09 + 1204.09 = C2

2408.18 = C2

C = (diameter)

(diameter * 3.14)

49.07 * 3.14 = 154.089 feet

$100 Question from Proportion

Central Angle _________

Arc Length__2cm____

Circumference __36cm_

$100 Answer from Proportion=

Cross Multiply 2* 360 = 36x

Divide

X = 20⁰

$200 Question from Proportion

Central Angle _________

Arc Length__89cm____

Circumference ________

$200 Answer from Proportion=

Cross Multiply 89 * 360 = 18x

Divide

X = 1780 cm

$300 Question from Proportion

Find “x.”

$300 Answer from Proportion=

Cross Multiply 56.4 * 100 = 360x

Divide

X = 15.666 inches

$400 Question from ProportionFind “x.”

$400 Answer from Proportion=

Cross Multiply 67x= 360* 24

Divide

X = 128.95 feet

$500 Question from ProportionFind theMissingPiece.

$500 Answer from Proportion=

Cross Multiply 17° x = 360*4.3

Divide

X = 91.05 cm

$100 Question from Inscribed Angles

Find x

$100 Answer fromInscribed Angles

X=

$200 Question fromInscribed Angles

Find the arc length.

$200 Answer fromInscribed Angles

20 * 2

$300 Question fromInscribed Angles

Find x.

$300 Answer fromInscribed Angles

100 / 2X=

$400 Question fromInscribed Angles

$400 Answer fromInscribed Angles

$500 Question fromInscribed Angles

$500 Answer fromInscribed Angles

$100 Question from Adding Angles Together

Find x.

x 93𝑜

$100 Answer fromAdding Angles Together

X + 93 = 180180 – 93 = X

x 93𝑜

$200 Question fromAdding Angles Together

Find xx + 5 1 02

$200 Answer from Adding Angles Together

X + 5 + 102 = 180X + 107 =180180 – 107 = XX =

x + 5 1 02

$300 Question from Adding Angles Together

Find x.

Find the missing angle.

x + 9 680

$300 Answer from Adding Angles Together

X + 9 + 68 = 180X + 97 = 180180 – 97 = XX =

9 + 83 =

x + 9 680

$400 Question from Adding Angles Together

$400 Answer from Adding Angles Together

5x + 6 + x = 180°

Combine Like Terms ∠RTF = (5x + 6)°6x + 6 = 180° = (5(29) + 6) - 6 - 66x = 174° = 145 + 6∠RTF = 151⁰X = 29

$500 Question from Adding Angles Together

$500 Answer from Adding Angles Together

4x + 32 + x = 180°

Combine Like Terms ∠RTF = (4x + 32)°5x + 32 = 180° = (4(29.6) + 32) - 32 - 325x = 148° = 118.4 + 32

∠RTF = 150.4⁰X = 29.6

$100 Question from RandomHow many degrees make up a circle?

How many degrees make up a circle’s diameter?

$100 Answer from Random A circle has 360⁰

The diameter is a straight line = 180⁰

$200 Question from RandomGive the circumference of the

circle in radians.

$200 Answer from Random (Diameter)*π

12* π

12π (ft)

$300 Question from RandomWhy is that if I have a circle cut in half, that no matter where I draw an inscribed angle, it will be 90 ?⁰

$300 Answer from RandomDividing the circle in half, means making two hemispheres.

A hemisphere has 180 .⁰

The inscribed angle is half the arc length.½ (180) = 90 (which is a right angle)⁰

$400 Question from RandomAre arcs TM and BC not congruent? Why?

$400 Answer from Random

Arcs TM and BC may share the same central angle, but their intersecting arcs are not the same size.

$500 Question from RandomFind m∠PST

$500 Answer from RandomArc PT = 66⁰

∠PST = arc PT½ (66) = ½ 33⁰