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
54.8k views
in Areas Related To Circles by (47.3k points)
recategorized by

The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm is 

A. 56 cm  B. 42 cm C. 28 cm D. 16 cm

1 Answer

+1 vote
by (48.8k points)
selected by
 
Best answer

C. 28 cm

Diameter of first circle = d1 = 36 cm

Diameter of second circle = d2 = 20 cm

∴ Circumference of first circle = πd1 = 36π cm

Circumference of second circle = πd2 = 20π cm

Now, we are given that,

Circumference of circle = Circumference of first circle + Circumference of second circle

πD = πd1 + πd2

⇒ πD = 36π + 20π

⇒ πD = 56π

⇒ D = 56

⇒ Radius = 56/2 = 28 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

...