Question

if area of a circle is equal to sum of areas of two circles of diameter10cm and 24cm calculate diameter of the larger circle

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The diameter of the larger circle is 26 cm.

Step-by-step explanation:

The area of a circle is

$A=\pi r^2$

Where r is radius.

We know that the diameter is twice of its radius. So, radius of first and second d circles are 5 cm and 12 cm respectively.

$A_1=\pi 5^2=25\pi$

$A_2=\pi (12)^2=144\pi$

It is given that the area of larger circle is equal to the area of these circles.

$\pi r^2=25\pi +144\pi$

$r^2=169$

$r=13$

The radius of the larger circle is 13 cm.

The diameter of the larger circle is

$d=2r=2(13)=26$

Therefore the diameter of the larger circle is 26 cm.