Circumference and arc length

Front

What is the formula for the circumference of a circle?

Back

C = 2πr, where C is the circumference and r is the radius.

Front

If the radius of a circle is 10 ft, what is the diameter?

Back

The diameter is 20 ft.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter is twice the radius.

Front

How do you calculate the arc length of a circle?

Back

Arc length = (θ/360) * C, where θ is the angle in degrees and C is the circumference.

Front

What is the circumference of a circle with a radius of 5 inches?

Back

The circumference is 31.4 inches.

Front

If the angle of an arc is 90 degrees, what fraction of the circle does it represent?

Back

It represents 1/4 of the circle.

Front

What is the formula for finding the arc length in terms of π?

Back

Arc length = (θ/360) * 2πr.

Front

If the arc length is 7/2π cm, what is the angle in degrees?

Back

The angle is 180 degrees.

Front

What is the arc length of a minor arc with a central angle of 60 degrees and a radius of 10 cm?

Back

Arc length = (60/360) * 2π(10) = (1/6) * 20π = (10/3)π cm.

Front

What is the circumference of a circle with a diameter of 10 ft?

Back

The circumference is 31.4 ft.