Find the length of the arc, s, on a circle of radius r intercepted by a central angle theta. Express the arc length in terms of pi. Then round your answer to two decimal places.

Radius, r = 5 inches; Central angle, theta = 170 degrees

Question

Mathematics

Bradyn

21 May, 13:22

Find the length of the arc, s, on a circle of radius r intercepted by a central angle theta. Express the arc length in terms of pi. Then round your answer to two decimal places.

Radius, r = 5 inches; Central angle, theta = 170 degrees

+3

Answers (1)

Know the Answer?

Howard Lozano · Answer 1

85π/18 in 14.84 in

Step-by-step explanation:

The given arc length relation requires the central angle be expressed in radians. There are π radians in 180°.

s = rθ = (5 in) (170°*π/180°) = 85π/18 in ≈ 14.84 in

Find the length of the arc, s, on a circle of radius r intercepted by a central angle theta. Express the arc length in terms of pi. Then round your answer to two decimal places. Radius, r = 5 inches; Central angle, theta = 170 degrees

Find the length of the arc, s, on a circle of radius r intercepted by a central angle theta. Express the arc length in terms of pi. Then round your answer to two decimal places.

Radius, r = 5 inches; Central angle, theta = 170 degrees