Explanation Given information: The sum of areas of each circles is 130 π ft 2 and difference of circumference is 16 π ft . Formula used: The circumference of circle is given by, C = 2 π r Where r is the radius of circle The area of area is given by, A = π r 2 Calculation: Let the radius of circles are R and r respectively. Now, according to A = π r 2 the area of circles are π R 2 and π r 2 respectively. Now, the sum of areas is 130 π ft 2 . Hence, π R 2 + π r 2 = 130 π Divide by π on both sides, R 2 + r 2 = 130 …...…... (1) Now, according to formula C = 2 π r the circumference of circles are 2 π R and 2 π r respectively. But the difference of circumferences is 16 π ft . 2 π R − 2 π r = 16 π Divide by 2 π both sides R − r = 8 …...…..

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Chapter 13, Problem 34RE

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To calculate: The radius of each circle if the sum of areas of each circles is 130π ft2 and difference of circumference is 16π ft.

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Chapter 13, Problem 33RE

Chapter 13, Problem 35RE

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Chapter 13 Solutions

EP ELEMENTARY+INTERMEDIATE ALG.-MYMATHA

Ch. 13.1 - Prob. 1YT Ch. 13.1 - Prob. 2YT Ch. 13.1 - Prob. 3YT Ch. 13.1 - Prob. 4YT Ch. 13.1 - Prob. 5YT Ch. 13.1 - Prob. 1CYU Ch. 13.1 - Prob. 2CYU Ch. 13.1 - Prob. 3CYU Ch. 13.1 - Prob. 4CYU Ch. 13.1 - Prob. 5CYU

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The radius of each circle if the sum of areas of each circles is 130 π ft 2 and difference of circumference is 16 π ft .

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To calculate: The radius of each circle if the sum of areas of each circles is 130π ft2 and difference of circumference is 16π ft.

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Chapter 13 Solutions