Question

Please help!!!

What is the area of , given that θ=π/3 radians? Express your answer in terms of π and as a decimal rounded to the nearest tenth. Show all your work.

Answer 1

A = 1.5 π in² ≈ 4.7 in²

Explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² ×
`((\pi )/(3) )/(2\pi )`

= π × 3² ×
`(1)/(6)`

= 9π ×
`(1)/(6)`

= 1.5π in²

≈ 4.7 in² ( to the nearest tenth )