Circles Quiz Review 23-24

Does this picture show the diameter or radius of a circle?

• Diameter

• Radius

Answer explanation

The picture shows the diameter of a circle, as it is a line segment passing through the center and connecting two points on the circle's circumference.

Does this picture show the diameter or radius of a circle?

• Diameter

• Radius

Answer explanation

The picture shows the radius of a circle. The radius is the distance from the center to any point on the circle's circumference.

What does C represent in the formula:

C = π·d

• Pi

• Circumference

• Diameter

• Area

Answer explanation

In the formula C = π·d, C represents the Circumference of a circle.

Tags

CCSS.7.G.B.4

Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?

• 28 cm

• 43.98 cm

• 87.96 cm

• 7 cm

Answer explanation

The circumference of a circle is calculated using the formula C = π * d, where d is the diameter. Substituting d = 14 cm, we get C = 3.14 * 14 = 43.96 cm. Therefore, the correct answer is 43.98 cm.

Tags

CCSS.7.G.B.4

To find the circumference of the circle, which should I use?

• 3.14 x 4

• 3.14 x 4 x 3

• 3.14 x 4 x 2

Answer explanation

To find the circumference of a circle, you should use the formula 3.14 x diameter, which is 3.14 x 4 x 2 = 25.12

Tags

CCSS.7.G.B.4

What is the circumference?

• 50.27

• 25.13

• 201.06

• 804.25

Answer explanation

The correct answer is 48 because the circumference is the distance around a circle, which is calculated using the formula 2 * π * radius. Here, the radius is 24, so 2 * π * 24 = 48.

Tags

CCSS.7.G.B.4

• 132.67

• 40.84

• 20.41

• 42.25

Tags

CCSS.7.G.B.4

A circular swimming pool has a 21 foot diameter.

How many square feet of tarp would be needed to cover the pool?

• 10.5 ft

• 42 ft

• 1384.74 sq ft

• 346.36 sq ft

Answer explanation

To find the area of the circular pool, we use the formula A = πr^2. Given the diameter is 21 ft, the radius is half of that, so r = 10.5 ft. Therefore, the area is A = π(10.5)^2 = 346.185 sq ft.

Tags

CCSS.7.G.B.4

The spray from a spinning lawn sprinkler makes a circle with a 40 foot radius. If Ben and his friends want to play and get wet, how much space do they have?

• 1256 sq ft

• 5027 sq ft

• 125.6 sq ft

• 251.2 sq ft

Answer explanation

The area of a circle is calculated using the formula A = πr^2. Substituting the radius of 40 feet, we get A = π(40)^2 = 5024 sq ft. Therefore, Ben and his friends have 5024 sq ft of space to play and get wet.

Tags

CCSS.7.G.B.4

A business has a circular lawn in front of the building (shown in the picture). How many steps would it take to walk around the entire lawn? (Round your answer to the nearest whole number)

• 4,416 steps

• 118 steps

• 150 steps

• 236 steps

Answer explanation

To walk around a circle, you would need to calculate the circumference. Using the formula C = 2πr, where r is the radius of the circle, and in this case, r = 75 steps, the total steps would be 2 x 3.14 x 75 = 236 steps.

Tags

CCSS.7.G.B.4