Find the circumference of the circle whose area is equal to the sum of the areas of three circles with radius 2 cm, 3 cm and 6 cm.

Let the radius of resultant circle be r cm. Given, Area of resultant circle is equal to the sum of the areas of three circles with radius 2 cm, 3 cm and 6 cm. ⇒ πr 2 = π(2) 2 + π(3) 2 + π(6) 2 ⇒ πr 2 = π[(2) 2 + (3) 2 + (6) 2 ] ⇒ r 2 = 2 2 + 3 2 + 6 2 ⇒ r 2 = 4 + 9 + 36 ⇒ r 2 = 49 ⇒ r = = 7 cm. Circumference of circle = 2πr = = 44 cm. Hence, circumference of circle = 44 cm.

A road 3.5 m wide surrounds a circular plot whose circumference is 44 m. Find the cost of paving the road at ₹ 200 per m².

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The sum of diameters of two circles is 14 cm and the difference of their circumferences is 8 cm. Find the circumferences of the two circles.

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A copper wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent into the form of a circle, find the area of the circle.

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Mathematics

Find the circumference of the circle whose area is equal to the sum of the areas of three circles with radius 2 cm, 3 cm and 6 cm.

Mensuration

Related Questions

A road 3.5 m wide surrounds a circular plot whose circumference is 44 m. Find the cost of paving the road at ₹ 200 per m².

The sum of diameters of two circles is 14 cm and the difference of their circumferences is 8 cm. Find the circumferences of the two circles.

A copper wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent into the form of a circle, find the area of the circle.

Mathematics

Find the circumference of the circle whose area is equal to the sum of the areas of three circles with radius 2 cm, 3 cm and 6 cm.

Mensuration

Related Questions

A road 3.5 m wide surrounds a circular plot whose circumference is 44 m. Find the cost of paving the road at ₹ 200 per m2.

The sum of diameters of two circles is 14 cm and the difference of their circumferences is 8 cm. Find the circumferences of the two circles.

A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent into the form of a circle, find the area of the circle.

A road 3.5 m wide surrounds a circular plot whose circumference is 44 m. Find the cost of paving the road at ₹ 200 per m².

A copper wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent into the form of a circle, find the area of the circle.