PLEASE I NEED HELP WITH MY MATHS HOMEWORK< I HAVE SO MUCH HOMEWORK DURING THIS QUARANTINE
USE THE IMAGE ATTACHED BELOW TO HELP ME
The diagram shows a square ABCD with sides of length 20cm
It also shows a semicircle and arc of a circle.
AB is the diameter of the semicircle
BD is an arc of a circle with centre A

a) Find the area of the shaded region giving your answer in terms of π
You must show your working, clearly stating the area of the semicircle

a) The area of the shaded region is 50π.

b)

Step-by-step explanation:

Step 1:

The area of a circle

The area of a semi-circle

The area of a quarter-circle

The shaded region's area is obtained by subtracting the area of the semi-circle with a radius of 10 cm from the area of a quarter-circle with a radius of 20 cm.

The area of the semi-circle with a radius of 10 cm

The area of the quarter-circle with a radius of 20 cm

Step 2:

The area of the shaded region is obtained by subtracting these areas.

The area of the shaded region

The area of the shaded region is 50π square units.

Step 3:

The area of a square is the square of the side length.

The area of the square square cm.

b)

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step-by-step explanation:

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