Question

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

Answer 1

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Answer 2

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step 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 $=\dfrac{\theta}{360^\circ}X2\pi r$

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

(b)Area of the sector

Area of the sector $=\dfrac{\theta}{360^\circ}X\pi r^2$

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