CLASS-6
SEMICIRCLE OF A CIRCLE

SEMICIRCLE OF A CIRCLE -

A semicircle is exactly half of a circle. It is formed by taking a diameter and cutting it in half, creating two equal parts, each resembling half of a circle. The circumference of a semicircle is the distance around its curved edge.

The formula for the circumference (C) of a semicircle is half of the circumference of a full circle:-

                 C = 1​/2 × 2πr = πr

Where r is the radius of the semicircle. This formula essentially states that the circumference of a semicircle is half of the circumference of the circle with the same radius.

The formula for the circumference (C) of a semicircle is half of the formula for the circumference of a full circle. If r is the radius of the semicircle, the formula is:

        semicircle = C (semicircle​) = πr + 2r

Alternatively, you can use the diameter (d) of the full circle to find the circumference of the semicircle:

        semicircle = C (semicircle​) = 2πd​

The area (A) of a semicircle is half of the area of a full circle. If r is the radius, the formula is:

        semicircle = A (semicircle) ​ = 1​/2 π r²

One half of the whole arc of a circle is called a semicircle of the circle. In the above figure, arc AB is a semicircle of the circle with centre C.