Circumference and arc length

Front

What is the formula for the circumference of a circle?

Back

The circumference (C) of a circle is given by the formula: C = 2πr, where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the relationship between diameter and radius?

Back

The diameter (d) of a circle is twice the radius (r): d = 2r.

Tags

CCSS.7.G.B.4

Front

What is the formula for the arc length of a circle?

Back

The arc length (L) can be calculated using the formula: L = \frac{central\ angle\ (degrees)}{360} \times 2\pi r.

Tags

CCSS.HSG.C.B.5

Front

What is the circumference of a circle with a radius of 4.5 inches?

Back

C = 2π(4.5) = 28.26 inches.

Tags

CCSS.7.G.B.4

Front

What is the circumference of a circle with a diameter of 20 km?

Back

C = πd = π(20) = 20π km.

Tags

CCSS.7.G.B.4

Front

What is the central angle in degrees for a full circle?

Back

The central angle for a full circle is 360 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What is the formula to find the radius from the circumference?

Back

To find the radius (r) from the circumference (C), use the formula: r = \frac{C}{2\pi}.

Tags

CCSS.7.G.B.4

Front

What is the area of a circle?

Back

The area (A) of a circle is given by the formula: A = πr^2.

Tags

CCSS.7.G.B.4

Front

What is the arc length for a central angle of 165 degrees in a circle with a radius of 24 feet?

Back

L = \frac{165}{360} \times 2\pi(24) = 69 ft.

Tags

CCSS.HSG.C.B.5

Front

What is the difference between circumference and arc length?

Back

Circumference is the total distance around a circle, while arc length is the distance along a portion of the circle.

Tags

CCSS.7.G.B.4