Angle Relationships and Circles Review 7.GSR.5.1, 2,3,4,5

The circle below shows 3 out of the eight wedges shaded. What would this equal in degrees? HINT: Set up a proportion and solve.

• 135 degrees

• 960 degrees

• 0.067 degrees

• 67.5 degrees

Which of the following is a proportion that can be used to solve for the measure of the shaded circle?

• 1/5 = x/360

• 5/1 = x/180

• 1/5 = 360/x

• There is no correct answer shown.

If 2 out of 5 sections of a circle are shaded, what is the measure of the shaded area in degrees?

• 144 degrees

• 108 degrees

• 72 degrees

• 180 degrees

What proportion can be used to find the degree measure of 1 out of 4 equal sections of a circle?

• 1/4 = 360/x

• 1/4 = x/360

• None of the above

• 4/1 = x/90

A circle is divided into 6 equal parts, and 4 parts are shaded. What is the degree measure of the shaded area?

• 180 degrees

• 60 degrees

• 120 degrees

• 240 degrees

The diameter of a circle is 5 cm. What is the circumference of the circle?

• 15.7 cm
• 10 cm
• 20 cm
• 12.5 cm

How many degrees does  circle have?

• 360 degrees
• 2pi
• 180 degrees
• pi

Find the Area of the given circle with a diameter of 40 cm. 

Give your answer in terms of ππ.

                

• 200π cm²
• 50π cm²
• 160π cm²
• 400π cm²

A dog is leashed to a point in the center of a large yard. If the leash is 18.8 feet long, what is the total area of the region the dog is able to explore?

Use 3.14 as an approximation for pi.

• 277.45 square feet

• 1500 square feet
• 1111.63 square feet
• 75 square feet

If the radius of a circle is 10 cm, what will be the area of the circle?

Give your answer in terms of π .

• 200π cm²
• 50π cm²
• 75π cm²
• 100π cm²