Area of the colored region.

Geometry Level 3

An circle of diameter 10 units is drawn around an ellipse with semi major axis = 5 units and semi minor axis = 3 units. What is the area of the blue colored region ?.

Hint : Area of an Ellipse = π a b = \pi a b where a a and b b are semi major and semi minor axes respectively

10*π 85*π 25*π 15*π

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1 solution

Srinivasa Gopal
Dec 22, 2017

Area of the inner ellipse = π * 5 * 3 = 15*π

Area of the outer cirlce = π * 5 * 5 = 25*π

The blue colored shaded area =Area of the outer cirlce - Area of the inner ellipse =10*π

Area of an ellipse

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