In circle N with m, angle, M, N, P, equals, 54, degreesm∠MNP=54
∘
and M, N, equals, 15MN=15 units, find the length of arc, M, P
MP
⌢
. Round to the nearest hundredth.
To find the length of arc MP, we need to use the formula for arc length:
Arc Length = (Central Angle / 360) * 2πr
where r is the radius of the circle.
In this case, the central angle is 54 degrees and the radius is 15 units. Plugging these values into the formula, we get:
Arc Length = (54 / 360) * 2π * 15
= (3 / 20) * 2π * 15
= (3 / 20) * 30π
= 3π / 2
Rounding to the nearest hundredth, the length of arc MP is approximately 4.71 units.