The sum of the radii of two circles is 140 cm and the difference of their circumference is 88 cm. Find the radii of the two circles.
Mensuration
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The sum of the radii of two circles is 140 cm and the difference of their circumference is 88 cm. Find the radii of the two circles.

KnowledgeBoat · Accepted Answer

Let r1 and r2 be the radii of the two circles. Given, Sum of the radii of two circles is 140 cm. r1 + r2 = 140 .......(1) Circumference of circle1 - Circumference of circle2 = 88 ⇒ 2πr1 - 2πr2 = 88 ⇒ 2π(r1 - r2) = 88 ⇒ r1 - r2 = ⇒ r1 - r2 = ⇒ r1 - r2 = ⇒ r1 - r2 = 14 ..........(2) Adding equation (1) and (2), we get : ⇒ r1 + r2 + r1 - r2 = 140 + 14 ⇒ 2r1 = 140 + 14 ⇒ 2r1 = 154 ⇒ r1 = = 77 cm. Substituting value of r1 in equation (1), we get : ⇒ 77 + r2 = 140 ⇒ r2 = 140 - 77 ⇒ r2 = 63 cm. Hence, radii of the circles = 77 cm and 63 cm.

Mathematics

The sum of the radii of two circles is 140 cm and the difference of their circumference is 88 cm. Find the radii of the two circles.

Mensuration

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Mathematics

The sum of the radii of two circles is 140 cm and the difference of their circumference is 88 cm. Find the radii of the two circles.

Mensuration

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