Find the radius of a circle on which a central angle measuring 2π/3 radians intercepts an arc on the circle with a length of 35π kilometers.

Question

Mathematics

Niko Bush

13 April, 04:34

Find the radius of a circle on which a central angle measuring 2π/3 radians intercepts an arc on the circle with a length of 35π kilometers.

+2

Answers (1)

Know the Answer?

Kendall Bean · Answer 1

Radius = 105/2 km

Step-by-step explanation:

The formula for arc length (in radians) is Arc Length = Radius*Angle (in radians)

The arc length is 35π km and the angle is 2π/3

Plug in the values and solve for r

35π = (2π/3) * r

35π*3/2π = r

r = 105/2 km or 52.5 km