Sarthaks Test
0 votes
in Mathematics by (7.9k points)

The radii of two circles are 19cm and 9cm respectively. Find the radius and area of the circle which has circumferences is equal to sum of circumference of two circles.

1 Answer

0 votes
by (13.1k points)
selected by
Best answer

Radius of 1st circle = 19 cm

Radius of 2nd circle = 9 cm

Circumference of 1st circle = 2π(19) = 38π cm

Circumference of 2nd circle = 2π (9) = 18π cm

Let radius of required circle = R cm

Circumference of required circle = 2πR = c1+c2

2πR = 38π + 18π

2πR = 56π

R = 28 cms

Area of required circle = πr2

=22/7 x 28 x 28

=2464 cm2

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.