Find the area of the sector formed by the given central angle θ in a circle of radius r. (round your answer to two decimal places.) θ = 15°, r = 7 m

The area of the sector to two decimal places is 6.41m

The formula for calculating the area of a sector is expressed as:

where:

r is the radius of the sector

is the angle subtended by the sector

Given the following:

θ = 15°

r = 7 m

Substitute the given parameters into the formula

Hence the area of the sector to two decimal places is 6.41m.

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6.41 m² ( 2 dec. places)

area of sector(A) = area of circle × fraction of circle

A = πr² ×

  = π × 7² ×

= (49π × 15)/360 = 6.41

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: