Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest hundredth

Question

asked Oct 24, 2021 164k views

2 Answers

Wing · Answer 1 · 2021-10-27T15:47:44+0000

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length
$=(\theta)/(360^\circ)X2\pi r$

$=(30)/(360^\circ)X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)$

(b)Area of the sector

Area of the sector
$=(\theta)/(360^\circ)X\pi r^2$

$=(30)/(360^\circ)X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)$