Circles Spiral Review

On the first circle, what segment is a diameter?

• AB

• CD

• EB

• AD

Answer explanation

The diameter of a circle is a segment that passes through the center and connects two points on the circle. Segment EB is the only option that fits this definition, making it the correct answer.

How long is the diameter of the circle?

• 4 cm

• 8 cm

• 6 cm

• 10 cm

Answer explanation

The diameter of a circle is twice the radius. If the radius is 4 cm, then the diameter is 4 cm x 2 = 8 cm. Therefore, the correct answer is 8 cm.

Tags

CCSS.7.G.B.4

What is the formula for calculating the circumference of a circle?

• 2r

• πr^2

• 2πr or πd

• πr

Answer explanation

The circumference of a circle can be calculated using the formula 2πr (where r is the radius) or πd (where d is the diameter). Thus, the correct answer is 2πr or πd.

Tags

CCSS.7.G.B.4

The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?

• 56.25 ft

• 246 ft

• 365 ft

• 393 ft

Answer explanation

To find the minimum length of fencing for a circular garden, use the formula for circumference: C = 2πr. Given the radius, the calculation yields approximately 393 ft, which is the correct answer.

Tags

CCSS.7.G.B.4

A wire that has a length of 88 cm is bent into a circle. What is the radius of the circle?

• 14 cm

• 28 cm

• 44 cm

• 22 cm

Answer explanation

To find the radius, use the formula for the circumference of a circle: C = 2πr. Given the wire length (circumference) is 88 cm, we have 88 = 2πr. Solving for r gives r = 14 cm, which is the correct answer.

Tags

CCSS.7.G.B.4

The diameter of a bicycle wheel is 70 cm. How much distance will it cover after it completes 23 revolutions?

• 4820 cm

• 5060 cm

• 5055 cm

• 4900 cm

Answer explanation

To find the distance covered, calculate the circumference of the wheel: C = π * diameter = π * 70 cm. Then, multiply by the number of revolutions: Distance = C * 23. This gives approximately 5055 cm, confirming the correct answer.

Tags

CCSS.7.G.B.4