Question

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

Answer 1

The answer is 10cm for new circle

Answer 2

Answer:

Answer:-

Given:

Radii of two circles are 8 cm , 6 cm.

Also,

Sum Areas of two circles = Area of the other circle.

We know that

Area of a circle = πr²

where r is the radius.

Let the radius of the other circle be r.

According to the question,

⟶ π(8)² + π(6)² = πr²

⟶ π(64 + 36) = π(r²)

⟶ 100 = r²

⟶ √100 = r

⟶ ± 10 = r

radius of a circle cannot be negative. So , positive value is taken.

∴ The radius of the other circle is 10 cm.