Question

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

Answer 1

Step-by-step explanation:

Given radii of two circles are 8cm and 6cm. We have to find the radius of the circle having area equal to sum of area of the two circles.∴ Sum of area of two circles=π×8 2 +π×62=64π+36π=100π∴πR 2 =100rR=10cm∴ Radius of the circle is R=10cm.

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.