Area
Circumfrence
Names
Mixed
Challenge
50

IF YOU DON'T ANSWER WITHIN 5 SECONDS, YOU LOOSE 5 POINTS

$$$$$$

What is the equation to find the area of a circle ? 

πr2

50

What are the 2 equations for the circumference of a circle?

2 x π x r

π x d

50

Another word for a pizza slice in circle language

sector

50

Find angle AB^C

REFER TO FIGURE D

128o

50

Find angle ECA


REFER TO FIGURE K 

35o

150

$$$$$

What is the equation of the area of a sector ?

θ/360 x πr2

150

find the radius of a circle with circumference 170cm.

Give your answer in metres

0.27m

150

Find the value of BCD. 


REFER TO FIGURE H 

114o

150

Find angles f, g ,h

REFER TO FIGURE F

f = 86o

g = 94o

h = 86o

150



The diameter of a semicircular shape is 14 cm. What will be the perimeter of this shape? Give your answer correct to the nearest thousandth

167.938 cm

250

what is the radius of a circle with area of 152cm?

Give your answer in metres

7cm

0.07m

250

Draw a diagram of a circle with a radius of 8 units and a sector formed by a central angle of 30o. Find the arc length and area of the sector. Round to the nearest tenth.

Length of arc = 4.2 units

Area of sector = 16.8 units2

250

What is the longest possible chord in a circle called ?

Diameter

250

Find angle marked x

REFER TO FIGURE J 

107o

250

choose a team to answer this question. If they get it wrong, you get the points. If they get it right, they gain the points and your team will loose half the points.

A graphic designer creates a design for a company logo. The design is a green semicircle with a white quadrant, as shown. Find the area of the green part of the design. Use 3.14 as an approximation for π.

REFER TO FIGURE B

39,485.5mm2

350

choose a team to answer this question. If they get it wrong, you get the points. If they get it right, they gain the points and your team will loose half the points.

A jewelry designer is making a pendant. The pendant will be a circular disc (center O) with a circular hole cut out of it, as shown. The radius of the disc is 35mm. Find the area of the pendant.  

REFER TO FIGURE A

2887.5mm2

350

P is the midpoint of AB.

Q is the midpoint of AC.

APQ is a sector of a circle, centre A.

Calculate the area of the white region.

REFER TO FIGURE G

3.14 cm

350

not a full circle, piece of the path 

outside the circle, touching at point P 

arc

Tangent 

350

Find angle OCQ


REFER TO FIGURE I

OCQ = 144o

350

Jane is lining her yard with fences and she needs to know the perimeter of her yard. The hard consists of a 36m-sided square and 3 semi-circles. What is the perimeter of her yard ? 

 Round your answer to the nearest hundredth 

REFER TO FIGURE C

205.65m

420

Calculate the shaded area, knowing that the sides of the square ara 6 cm.

 Round your answer to the nearest unit.

REFER TO FIGURE L

8cm2

420

In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with a radius of 1 m. The entire area of the park has grass with the exception of the bases for the lamps. Calculate the lawn area.

Round your answer to the third significant figure.

REFER TO FIGURE M

196000m2

420

inbetween a chord and an arc



segment 

420

choose a team to answer this question. If they get it wrong, you get the points. If they get it right, they gain the points and your team will loose half the points.

A circular fountain of 5 m radius lies alone in the center of a circular park of 700 m radius. Calculate the total walking area available to pedestrians visiting the park. Round your answer to 2 significant figures.

15,000,000m2

420

The tire of a car has a radius of 10.5 inches. How many revolutions does the tire need to make for the car to travel 13,200 inches?

REFER TO FIGURE E

200 revolutions

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