Sarthaks APP
0 votes
2.6k views
in Mathematics by (11.0k points)

Find the area of the shaded region in the given figure, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle. [Use π =22/7]

1 Answer

0 votes
by (18.2k points)
selected by
 
Best answer

It can be observed that RQ is the diameter of the circle. Therefore, ∠RPQ will be 90º.

By applying Pythagoras theorem in ΔPQR,

RP2 + PQ2 = RQ2

(7)2 + (24)2 = RQ2

Radius of circle, 

Since RQ is the diameter of the circle, it divides the circle in two equal parts.

Area of ΔPQR = 1/2 x PQ x PR

                        =1/2 x 24 x 7

                        = 84 cm

Area of shaded region = Area of semi-circle RPQOR − Area of ΔPQR

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...