Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
2.3k views
in Mathematics by (106k points)

Two circles touch externally. The sum of their areas is 130 π sq. cm and the distance between their centres is 14 cm. Find the radii of the circles.

1 Answer

0 votes
by (323k points)
 
Best answer

If two circles touch externally, then the distance between their centres is equal to the sum of their radii.
Let the radii of the two circles be r1 cm and r2 cm respectively [Fig.].
Let C1 and C2 be the centres of the given circles. Then,
C1C2 = r1 + r2
⇒ 14 = r1 + r2 [C1C2 = 14 cm given]
⇒ r1 + r2 = 14        …(i)
It is given that the sum of the areas of two circles is equal to 130 π 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.

Categories

...