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A circle fits inside a semi-circle with the diameter of 24mm.

Cauculate the shaded area.

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Sagot :

Answer:

Area of shaded part = 113 mm² (Approx.)

Step-by-step explanation:

Given:

Diameter of Semi-circle = 24 mm

Find:

Area of shaded part

Computation:

Radius of semi-cicrle = Diameter of Semi-circle / 2

Radius of semi-cicrle = 24 / 2

Radius of semi-cicrle = 12 mm

So,

Radius of small circle = 12 / 2

Radius of small circle = 6 mm

Area of shaded part = Area of semi circle - Area of small circle

Area of shaded part = [πR² / 2] - [πr²]

Area of shaded part = [(3.14)(12)² / 2] - [(3.14)(6)²]

Area of shaded part = [(3.14)(144) / 2] - [(3.14)(36)]

Area of shaded part = 226.08 - 113.04

Area of shaded part = 113.04

Area of shaded part = 113 mm² (Approx.)

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