The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the area of the twi circles
The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the area of the twi circles
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 33E: The radii of two concentric circles differ in length by exactly 1 in. If their areas differ by...
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The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the area of the twi circles
Expert Solution
Step 1
Given, Radius of first circle = 8 cm
Radius of second circle = 6 cm .
Step 2
Required Area of Circle = Area of circle having radius 8 cm + Area of circle having radius 6 cm
{ Area of circle is given as = π * ( radius)2}
=> πr2 = π(8)2+ π(6)2
=> πr2= 64π + 36 π
=> r2 = 100
=> r = √100 = 10 cm
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