21) In the given figure, find the area of the shaded portion of square.
3.5 cm
10 cm
22) Find the area of the shaded portion in the figure given below.
14 cm
14 cm
Answers
Answer:
21) 88 sq. cm
22) 152 sq. cm
Step-by-step explanation:
21 ) Area of square completely,
Side*Side = 10 * 10 = 100 sq. cm
Radius of circle in the square = 3.5 cm
Area of the circle = 2πr = 2*22/7*3.5
Cancel 7 and 3.5, 2*22/2
Multiply 2 and 22 = 44/2
Divide 44 by 2 = 22
Area of the circle = 22 sq. cm
Are of shaded portion = Area of complete square - Area of circle
100 - 22 = 88 sq. cm
22) Area of square = 14*14 = 196 sq. cm
Inside the square are two semi-cirles = One circle
Radius of circle = 14/2 = 7
Area of circle = 2πr = 2*22/7*7
Cancel 7 and 7, 2*22
= 44 sq. cm
Area of shaded portion = Area of complete square - Area of circle
196 - 44 = 152 sq. cm
My fingers are tired :|
Answer:
21 ) 61.5 cm²
Step-by-step explanation:
Side of square = 10 cm
Area of square = s x s
= 10cm x 10cm
= 100cm²
Radius of circle = 3.5 cm
Area of circle = π r²
= 22/7 x 3.5 x 3.5
After cancelling 7 with 3.5, we have 22x0.5x3.5 = 38.5 cm²
Area of shaded figure = Area of total figure - Area of circle
= 100 cm² - 38.5 cm²
= 61.5 cm²
∴ The area of the shaded portion of square is 61.5 cm²