Area of a Cirlce
Circumference of a Circle
Area of a Sector
Arc Length
Equation of a Circle
100

What is the area of a circle given the diameter is 16π?

64π3     =   1984.4

100

Find the perimeter of the semicircle 

15π+30 = 77.123

100

What is the area of the whole circle given the area of the sector is 24 and the central angle is 87 degrees?

99.31

100

The circle with central angle at 35 degrees has a circumference of 16. What is the length of arc AC?

1.56

100

The equation

x^2+(y-2)^2=36

represents circle A. Circle B is obtained by shifting circle A down 4 units in the xy-plane.


 x^2+(y+2)^2=36 

200

Find the error. What is the correct area of the circle?

36π = 113.097


200

The diameter of the new roll of caution tape decreases 3.25 inches after a construction worker uses some of the tape.What is the best estimate of the circumference of the roll after the decrease?

21.195 inches

200

A circle is split into 9 equal sections, with a radius of 5 what is the area of one section?

8.726

200

Find the length of PQ

1.875π = 5.8905

200

A circle in the xy-plane has its center at ( -4 , 5 ) and the point ( -8 , 8 ) lies on the circle. What is the equation of the circle?

 (x + 4)^2+(y-5)^2=25 

300

A pint of paint covers 15 inches squared. Gianna is in the middle of painting a mural for A House. She needs to paint in the circle. She has calculated that the diameter of the circle needs to be 26 inches long. How many pints of paint should she get?

35.39 to be exact or 36 pints

300

A circle has center O , and points A and B lie on the circle. The measure of the central angle is 45 degrees and the length of arc AB is inches 3. What is the circumference, in inches, of the circle?

24 inches

300

Find the area of the shaded circle 

33.51

300

A semicircle has endpoints (−2, 5) and (2, 8). Find the arc length of the semicircle.

7.85

300

Does the point (-5, -8.5) lie on the circle with the center at ( - 5, - 2) with the diameter of the circle measuring 42.25

Yes, the radius is the same as the distance between the point 

400

The circumference of a circle is aπ and the area of the circle is bπ square units. If a = b, what is the radius of the circle?

r = 2

400

A baker uses a coffee mug with a diameter of 8 cm to cut out circular cookies from a big sheet of cookie dough. They need to keep the cookies need to be 1 inch apart (2.54 cm) and from the sides of the sheet. The sheet is 45 x 35 cm long. How many cookies can fit on a sheet?  

12 cookies

400

A rectangular wall has an entrance cut into it. You want to paint the wall. What is the area of the region you need to paint?

579.469 ft squared

400

A measuring wheel is used to calculate the length of a path. The diameter of the wheel is 8 inches. The wheel makes 87 complete revolutions along the length of the path. To the nearest foot, how long is the path?

182.21 ft

400

Which of the following equations represents a circle in the xy-plane that intersects the y-axis at exactly one point?

C

500

If the total price of 6 small silver-dollar pancakes is the same as the total price of 3 regular-size pancakes, which is the better deal and by how much (as a percent) ?

3 regular size by 1.469%

500

The length of the minute hand is 150% of the length of the hour hand. In 1 hour, how much farther does the tip of the minute hand move than the tip of the hour hand?


102π = 320.28

500

Find the area of the shaded region



145.636 cm squared

500

A car tire has a diameter of 28 inches. How many revolutions does the tire make while traveling 500 feet?

68.209 revolutions

500

( 2 , - 5)

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