Math, asked by rishav170899, 11 months ago

In given figure, ABCD is a rectangle. The radius of the semicircles drawn on AD and Dy BC as diameters and radius of circle drawn in between is the same. If BC 7 cm find the area of the shaded region​

Answers

Answered by saranmass2349
11

Answer:

Step-by-step explanation:

Given:

Length of a rectangle (AB) = DC = 14 cm

Breadth of a rectangle( BC) = AD=7 cm

AREA OF SEMICIRCLE with DIAMETER DC= 1/2πr² = ½(22/7) × (14/2)²

= 11 × 7 = 77 cm²

AREA OF RECTANGLE (ABCD) = Length × Breadth = AB × DC = 14 × 7 = 98 cm²

AREA OF 2 SEMI CIRCLE with DIAMETER BC & AD= 2× 1/2πr² =(22/7) × (7/2)² = 11 ×7 / 2

= 77 /2 cm²

AREA OF SHADED REGION = Area of rectangle ABCD -  area of semicircle with diameter DC + Area of 2 semicircle with diameter  BC and AD

Area of shaded region = 98 - 77 + 77/2

= 21 +  77/2 = (42 +77)/2 = 119/2 = 59.5 cm²

Area of shaded region = 59.5 cm²

Answered by sd1253872
2

answer is 21cm square. thank u

Previous Question
Next Question
Similar questions
Social Sciences, 6 months ago
What is a savanna? Which parts of DRC have this type of vegetation?urgent please give a right answer​...
English, 6 months ago
3 Sara they older than Pooja? Mala No, they're younger. H Match the questions with the answers. 1. Do you like chocolate? a. No. She doesn't. 2. Does Bela play the keyboard? b. Yes, he was. 3. Did Saroja go with you to the library? C. Yes, she did. 4. Are you interested in computer games? d. No, I'm not. 5. Was your father pleased with you, Mala? e. Yes, I do. Write short answers to the...
Science, 6 months ago
f) A fungal disease in humans.​
Biology, 11 months ago
what is a cell made up of ??​
Math, 11 months ago
\Large \frac{ \tan( \alpha ) }{1 - \cot( \alpha ) } + \frac{ \cot( \alpha ) }{1 - \tan( \alpha ) } is Equal to which of the following Option : 1)1 - \tan( \alpha ) - \cot( \alpha ) 2)1 + \tan( \alpha ) - \cot( \alpha ) 3)1 - \tan( \alpha ) + \cot( \alpha ) 4)1 + \tan( \alpha ) + \cot( \alpha ) ​...
English, 1 year ago
In "Return Flight," Maggie is a static character because A. she does not change in the story. B. she changes in the story. C. she helps someone else change. D. she doesn't help anyone change.
Sociology, 1 year ago
Where did xmas come from?
Math, 1 year ago
A system of equations is graphed on the coordinate plane. y=−2x−4y=2x+4 What is the solution to the system of equations? Enter the coordinates of the solution in the boxes. ( , ​ )...