Question

What is the radius of a sector of a circle with the central angle of measure 45 and whose area is 9/8 pi cm^2

Answer 1

The radius of the sector of the circle with the given area is: B. 3.

What is the Area of a Sector?

Area of sector of a circle = ∅/360 × πr².

Given the following:

Area of sector = 9/8 π cm².

∅ = 45 degrees

Plug in the values into the formula

9/8π = 45/360 × πr²

1.125 = 0.125 × r²

1.125/0.125 = r²

9 =  r²

r = 3 cm

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