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Hotmath Practice Problems

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Title:
Hotmath Pre-Algebra
Author:
Hotmath Team
 
Free
Chapter:Areas and VolumesSection:Pi and the Area and Circumference of Circles
 

Problem: 1

Determine the area of the circle with radius 23 km. Use π 22/7.

 

Problem: 3

Obtain the area of the given circle. Write the exact area and the approximate area to the nearest square unit.

r = 2 ft

Use π 3.14.

 

Problem: 5

Determine the area of the circle with diameter 1.6 cm. Use π 22/7.

 

Problem: 7

Obtain the area of the given circle. Write the exact area and the approximate area to the nearest tenth.

d = 9.2 mm

Use π 3.14.

 

Problem: 9

Calculate the area of the circle. Round to the nearest tenth.

Diameter, 12.4 in

 

Problem: 11

Calculate the area of the given circle. Round to the nearest tenth.

 

Problem: 13

Obtain the area of the given circle. Write the exact area and the approximate area to the nearest square unit. Use π 3.14.

 

Problem: 15

What would be the circumference of a circle with the given radius?

r = 28

Use

 

Problem: 17

What would be the circumference of a circle with the given radius?

r = 30 cm

Use π 3.14.

 

Problem: 19

Compute the circumference of a circle with radius 1.5 yd.

 

Problem: 21

Use

What would be the circumference of a circle with the given diameter?

 

Problem: 23

Compute the circumference of a circle with diameter 7 cm.

 

Problem: 25

Compute the circumference of a circle with diameter 12.3 m.

 

Problem: 27

Find the circumference and area of the circle to the nearest tenth. Use π 3.14.

 

Problem: 29

Find the radius and diameter to the nearest tenth Use π 3.14.

 

Problem: 31

Complete the given table of data about circles by finding the values of the unknowns in terms of π.

 

Problem: 33

Complete the given table of data about circles by finding the values of the unknowns in terms of π.

 

Problem: 35

Calculate the area of the given figure. Round to the nearest tenth.

 

Problem: 37

Calculate the area of the given figure. Round to the nearest tenth.

 

Problem: 39

Obtain the area of the given figure to the nearest square unit.

Use π 3.14.

 

Problem: 41

Round the area of the shaded region to the nearest square unit.

Use π 3.14.

 

Problem: 43

Determine the area of the shaded region shown in terms of π.

 

Problem: 45

If the radius of a circle is tripled, the area is multiplied by

 

Problem: 47

Explain which has the greater area, a circle with radius 3 m or a square with side length 3 m.

 

Problem: 49

Explain which has a greater area, five circles, each with the radius 1 m, or one circle with radius 5 m.

 

Problem: 51

Circle A has a diameter 38.5 m. Circle B has a diameter 228.6 m. About how many times more area does the circle B cover than circle A?

 

Problem: 53

Find the number of circles with radius 3 cm which have the same total area as a circle with radius 9 cm?

 

Problem: 55

Given: Area of the sector S = 30 cm2. Find the area of the entire circle.

 

Problem: 57

Represent all lines of symmetry (if any) using dashed lines and mark each point of symmetry (if any) with a .

 

Problem: 59

Use the fact that the figure has symmetry. Determine the area of the shaded region. (Use π 3.14)

 

Problem: 61

Use the fact that the figure has symmetry. Determine the area of the shaded region. (Use π 3.14)

 

Problem: 63

Use the fact that the figure has symmetry. Determine the area of the shaded region. (Use π 3.14)

 

Problem: 65

A pizza has a diameter of 18 inches. The pizza is cut into eight pieces. Find the area of each piece. Use π 3.14.

 

Problem: 67

Use the figure shown. The center of the circle lies on the segment joining the labeled points. Determine the area of the circle and the circumference of the circle using the distance formula. (Use π 3.14.)