Question

the radii of two circles are 12 cm and 5 cm respectively. find the radius of the circle having area equal to the sum of the areas of the circles.

Answer 1

Answer:

Step-by-step explanation:area of cirlce=πr²

Area of circle=sum of areas of two circles

Then

πr²=π12²*π5²

πr²=169π

Cancel value of π on both sides

Then r²=169

Hence radius r=13cm

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Answer 2

Answer:

13 cm

Step-by-step explanation:

Given:

Radius of first circle(r₁) = 12 cm.

Radius of second circle(r₂) = 5 cm.

Let the radius of required circle = R.

It is said that 'radius of the circle having area equal to sum of areas'.

⇒ πR² = πr₁ + πr₂

⇒ πR² = π(r₁ + r₂)

⇒ πR² = π(12² + 5²)

⇒ πR² = π(169)

⇒ R² = 169 cm

⇒ R = 13 cm.

Therefore, Radius of the circle = 13 cm.

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