What will be the area of the shaded region, if in the given figure, ABCD is a square of side 7cm, DPBA and DQBC are quadrants of circles each of the radius 7 cm?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

25 cm 2

28 cm 2

27 cm 2

26 cm 2

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

We have to find the area of the shaded region, if in the given figure, ABCD is a square of side 7cm, DPBA and DQBC are quadrants of circles each of the radius 7 cm.
Calculating the area of the shaded region,
Area of square=(side)2
Area of quadrant=

14 π r 2

Area of the shaded portion = [Area of quadrant DPBA + Area of quadrant DQBC] – (Area of Square ABCD)

= 14 π (7) 2 + 14 π (7) 2 − (7) 2 = 12 × 227 (7) 2 − 49 = 28 cm 2

So, the area of the shaded portion is

28 cm 2 .

Therefore, option 2 is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE