find area of shaded part .
Answers
Answer:
124 is your answer hope it is right
Answer:
In the given figure, The major portion on which the semicircle is drawn is in the shape of a rectangle. Hence, We should find the area of the rectangle and subtract the area of the semicircle from it to get the area of the shaded region.
Step 1 (Find the area of rectangle)
From the figure, The dimensions of the rectangle is as follows:
- Length = 20 cm
- Breadth = 14 cm
We know,
⇒ Area of rectangle = Length × Breadth
⇒ Area = 20 × 14
⇒ Area = 280 cm² ...(1)
Step 2 (Find the area of semicircle)
From the figure,
- Diameter, d = 14 cm
∴ Radius, r = 7 cm
Now,
⇒ Area of semi-circle = πr² / 2
⇒ Area = 22/7 × 7 × 7 / 2
⇒ Area = 11 × 7
⇒ Area = 77 cm² ...(2)
Now, As described in the beginning of the question:
⇒ Area of Shaded region = Area of Rectangle - Area of semicircle
⇒ Required Area = 280 - 77 [ from (1) & (2) ]
⇒ Required Area = 203 cm²
Hence, The area of the shaded region is 203 cm²