Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.

2. The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.

Answers (1)

best_answer

We know that the area of the circle is   :    =\ \pi r^2

Thus area of a 1st circle  :    =\ \pi r^2_1

or                                       =\ \pi \times 8^2\ =\ 64 \pi\ cm^2

And the area of a 2nd circle is   :  =\ \pi r^2_2

or                                         =\ \pi \times 6^2\ =\ 36\pi\ cm^2

According to the question area of the new circle is   =\ 64\pi\ +\ 36\pi\ =\ 100\pi\ cm^2

or                                           \pi r^2\ =\ 100 \pi

or                                              r\ =\ 10\ cm

Hence the area of the new circle is 10 cm.

Posted by

Devendra Khairwa

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Board Exam 2025: Class 10, 12 practical exam dates out at cbse.gov.in; passing marks
anam-khan

CBSE urges schools to complete 100% registration of Class 9, 11 students by October 16; late fee for delays

Latest Question