If the radius of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?

Solution:

We know that

The perimeter of a circle = 2πr

Where r is the radius of the circle

Here

A complete circle is made by 360° angle = 2πr

The arc length made by 1° angle = 2πr/360°

The arc length made by 70° angle = [2πr/360°] × 70°

By further calculation

= [(2 × π × 6)/360°] × 70°

So we get

= 7.32 inches

Therefore, arc length subtended by 70° angle is 7.32 inches.

If the radius of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?

Summary:

If the radius of a circle is 6 inches, the length of the arc subtended by an angle measuring 70° is 7.32 inches.