AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

The $Δ$ PQR is inscribed in a semicircle. PQ = PR = 7cm . Find the area of the shaded region.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The measure of the angle prescribed by the diameter of the semicircle on its circumference is 90°. So
∠QPR = 90°.
Therefore,

Δ

PQR is a right-angled triangle.
Area of a right-angled triangle is,

To find the area of the semicircle, we have to find out its radius first.
As

Δ

PQR is a right-angled triangle, so by applying Pythagoras theorem, we get

is the diameter of the semicircle, we know that radius is half of the diameter of the circle, so

cm.
The area of the semicircle is

The area of the shaded region is

Hence the area of the shaded region is 14

c m^{2}

.
Hence, Option (1) is the correct answer.

Watch 3-min video & get full concept clarity

courses

No courses found

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

Ready to Test Your Skills?

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

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!