Question

A 45° sector in a circle has an area of 13.75π cm². What is the area of the circle? Use 3.14 for pi.
Enter your answer as a decimal in the box.
cm²

Answer 1

a circle is of 360° 
you know the area of 45° of the part.
now if you divide 360 by 45 you'll get numbers of 45° sector that circle will have.
360/45=8
multiply the given area with8
i.e. 8×(13.75×3.14)
=345.4   answer

Answer 2

Area of circle is 345.4 cm²

Area of sector:

Given that;

Angle of sector = 45°

Area of sector = 13.75π cm²

Find:

Area of the circle

Computation:

Area of sector = $\frac{\theta}{360}$[Area of circle]

13.75π = $\frac{\theta}{360}$[Area of circle]

13.75(3.14) = $\frac{45}{360}$[Area of circle]

13.75(3.14) = $\frac{45}{360}$[Area of circle]

43.175 = 0.125[Area of circle]

Area of circle = 345.4 cm²

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