Question

If you have a circle with an area of 49π cm² and the measure of arc AB is 60°, what is the area of the sector formed by this arc?

A) 25.7cm³
B) 25cm³
C) 8.2cm³
D)4712.4cm³

PLEASE SHOW WORK!

Answer 1

A) 25.7
`cm^(2)`

Explanation:

Area of a circle = π
`r^(2)`

Area of the circle in question = 49π

Equate the two equations

π
`r^(2)` = 49π

Area of a sector = ∅/360 * π
`r^(2)`

Area of the sector with angle 60°

= 60/360 * 49π

= 25.7
`cm^(2)`