Circle Theorems

ANGLES AND ARC MEASURES

100

Find the measure of arc BC

140 degrees

200

Find the measure of arc DF

129 degrees

300

Find arc CFD 

306 degrees

400

Find the measure of arc AD

48 degrees

500

Find angle SPQ 

146 degrees

Random Trivia

100

What is the largest North American country by land area?

Canada

200

What is the 3rd planet from the sun?

Earth

300

Which of Santa's reindeer have names that mean "thunder" and "lightning" in German?

Donner and Blitzen

400

Which famous soft drink was invented in 1892?

Coca-Cola

500

What fictional town does Spongebob Squarepants live in?

Bikini Bottom

ARC LENGTH AND SECTOR AREA

100

Find the area of the sector

11.8 m²

200

A windshield wiper is 45 cm long. In one sweep, it turns through an angle of 120 degrees. Calculate the area it covers in one sweep.

2120.58 cm²

300

A lawn sprinkler located at the corner of a yard is set to rotate through 90° and project water out 30.0 feet. What area of the lawn is watered by the sprinkler?

 

707 ft²

400

Find the area of the sector

7.07 in²

500

The minute hand of a clock is 6 in. long. How far does the tip of the hand travel in 35 minutes? (*assume the minute hand touches the edge of the clock)

21.99 inches

WHAT'S THE ANGLE?

100

Find angle CDE

76 degrees

200

Given that angle ABC is 27 degrees, find the measure of angle BAD

153 degrees

300

Find the sum of the measures ACB and DAE

75 degrees

400

Find the missing angles  p  

p = 61 degrees

500

Find   angle      y

y = 25 degrees

TANGENT AND SECANTS

100

Find the measure of angle V

114 degrees

200

Find the measure of the arc AD

AD = 80 degrees

300

Find x

x = 40 degrees

400

Find the measure of angle DFE

angle DFE = 67 degrees

500

The radius of circle 𝑨 is 𝟒. 𝑫𝑪̅ and 𝑪𝑬̅ are tangent to the circle with 𝑫𝑪 = 𝟏𝟐. Find the measure of angle C.

Angle C = 36.87 degrees