The circle below has center P, and its radius is 6in. Given that =m∠QPR170°, find the length of the major arc QSR.

Mathematics

1 answer:

kenny6666 [7]2 years ago

7 0

The length of the major arc QSR is 39.77 inches

<h3>How to find the length of the major arc QSR?</h3>

The given parameters are:

m∠QPR = 170 degree

Radius, r = 6 inches

The length of the major arc QSR is calculated as:

Arc length = (360 - Angle/360) * 2πr

Substitute the known values in the above equation

Arc length = (360 - 170/360) * 2 * 3.14 * 6

Evaluate the difference

Arc length = (190/180) * 2 * 3.14 * 6

Evaluate the product

Arc length = 39.77

Hence, the length of the major arc QSR is 39.77 inches

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