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Mathematics

Find the perimeter and area of a semi-circular plate of radius 25 cm.

Mensuration

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Answer

Given,

Radius = 25 cm

Area of full circle = πr²

= 3.14 × (25)²

= 3.14 × 625

= 1962.5 cm².

Area of semicircle = $\dfrac{1}{2}$ × 1962.5

= 981.25 cm².

Arc length of semi-circle = $\dfrac{1}{2}$ × 2πr = πr

Perimeter = Circumference of semi-circle + diameter

= πr + 2r

= 3.14 × 25 + 2 × 25

= 78.5 + 50 = 128.5 cm.

Hence, area = 981.25 cm² and perimeter = 128.5 cm respectively.

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