Physics, asked by anushakujur77, 4 months ago

write the area of semicircle of diameter 'd'​

Answers

Answered by panesarh890
7

Answer:

In the case of a circle, the formula for area, A, is A = pi * r^2, where r is the circle's radius. Since we know that a semicircle is half of a circle, we can simply divide that equation by two to calculate the area of a semicircle. So, the formula for the area of a semicircle is A = pi * r^2/2.

Answered by halamadrid
0

The required area of semicircle will be π(d²)/8 unit².

Given: Diameter of a semicircle = d

To find: The area of semicircle of diameter ‘d’.

Solution:

We know,

Formula for area of a circle = πr²

Where, 'r' is the radius of the circle.

We also know that,

Radius, r = half of the diameter of the circle i.e. d/2

Therefore,

The area of a circle with diameter ‘d’ = π(d/2)²

                                                             = π(d²)/4

∴ The area of a circle with diameter ‘d’ is π(d²)/4

And,

Area of a semicircle of diameter ‘d’ = ½ × area of the circle with diameter ‘d’

                                                           = ½ × π(d²)/4

                                                           = π(d²)/8

∴ The area of the semicircle with diameter ‘d’ is π(d²)/8

Thus, the area of semicircle of diameter ‘d’ is π(d²)/8 unit².

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