LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
84.1k views
in Areas Related To Circles by (49.6k points)
recategorized by

The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is 

A. 31 cm  B. 25 cm C. 62 cm D. 50 cm

1 Answer

+1 vote
by (50.8k points)
selected by
 
Best answer

D. 50 cm

Area of first circle = πr2 = π(24)2 = 576π m2

Area of second circle = πr2 = π(7)2 = 49π m2

Now, we are given that,

Area of the circle = Area of first circle + Area of second circle

∴ πR2 = 576π +49π

(where, R is the radius of the new circle)

⇒ πR2 = 625π

⇒ R2 = 625

⇒ R = 25

∴ Radius of the circle = 25cm

Thus, diameter of the circle = 2R = 50 cm.

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

...