Math 7S : Mixed Circle Questions & Math Assessment Questions

If the circumference of a circle is  $16\pi$ , what is the radius?  

• 4

• 8

• 16

• 32

Tags

CCSS.7.G.B.4

Jordan sews a lace border $50\pi$  inches long around the edge of a circular tablecloth.

What is the length of the radius from                                     the inside edge of the lace to the center of the             circular tablecloth?

• 5 in

• 25 in

• 50 in

• 100 in

Tags

CCSS.7.G.B.4

The circumference of the circle below is 25.12 centimeters.

Which is the best estimate for the length of the radius of the circle?

• 3 cm

• 4 cm

• 8 cm

• 16 cm

Tags

CCSS.7.G.B.4

Jordan is baking brownies and will choose to use either a round or a rectangular pan. The dimensions of the bottom of each pan are shown above.

Which statement correctly describes how the area of the bottom of the round pan compares to the area of the bottom of the rectangular pan?

• The area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches.

• The area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 244.2 square inches.

• The area of the bottom of the round pan is less than the area of the bottom of the rectangular pan by about 7.2 square inches.

• The area of the bottom of the round pan is less than the area of the bottom of the rectangular pan by about 38.6 square inches.

Tags

CCSS.7.G.B.4

CHALLENGE:
Kevin designs a sprinkler system for his yard. One rotation of the sprinkler waters a circle with an area of 
 $225\pi$  square feet. What is the radius, r, of the circle the rotating sprinkler waters?

• 15 feet

• 25 feet

• 30 feet

• 47 feet

Tags

CCSS.7.G.B.4

CHALLENGE:

If the circumference of a circle is doubled, how does the diameter of the circle change?

(you can make up a circumference and double it and see how it affects the diameter)

• The diameter stays the same.

• The diameter becomes half as long.

• The diameter becomes twice as long.

• The diameter becomes four times as long.

Tags

CCSS.7.G.B.4

The face of a clock has a circumference of 63 in. What is the area of the face of the clock? 

• 21 

• 32.97

• 110.25

• 346.19

Tags

CCSS.7.G.B.4

Compute the area of a circle with a circumference of 56π feet.

• 9847.04 sq ft 
• 2461.76 sq ft
• 56 sq ft
• 175.84 sq ft

Tags

CCSS.7.G.B.4

One small circle is completely inside a larger circle. Both circles share the same center point. Calculate the area of the shaded region.

• 200.96 sq cm
• 28.26 sq cm
• 803.84 sq cm
• 172.7 sq cm

Tags

CCSS.7.G.B.4

Jackson High School is building a new running track. The track is constructed from a rectangle and two semicircles. The inside of the track will all be grass. Determine the area of grass needed to fill in the track. Round to the nearest whole number.

• 83,669 sq ft
• 51,000 sq ft
• 59,167 sq ft
• 65,149 sq ft