Q. 24.4( 23 Votes )

Find the diameter

Answer :

Given:

Let the two circles with radii 4 cm and 3 cm be C1 and C2 respectively.


r1 = 4 cm and r2 = 3 cm


Area of circle, C = Area of C1 + Area of C2 …… (i)


Area of circle = πr2 …… (ii)


Area of C1 = πr12


=


= × 16 = cm2


Similarly, Area of C2 = πr22


= × 3 × 3


= × 9 = cm2


So, using (i), we have


Area of C = + = cm2


Now, using (ii), we have


πr2 =


× r2 =


r2 = × = 25


r = √25 = 5


r = 5 cm


Diameter = 2 × radius


Diameter = 2 × 5 = 10 cm


Hence, diameter of the circle with area equal to the sum of two circles of radii 4 cm and 3cm is 10 cm.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
How to Revise ChemistryHow to Revise ChemistryHow to Revise Chemistry45 mins
Nelson Mandela : Long Walk to FreedomNelson Mandela : Long Walk to FreedomNelson Mandela : Long Walk to Freedom42 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

The cost of fenciRS Aggarwal - Mathematics