Two circles have radii of 4 units and 6 units. What is the radius of a circle whose area is equal to the sum of the areas of the two given circles?
1 answer:
Answer:
Step-by-step explanation:
We that the area of a circle is Pi times r^2 where r is the radius
Let A be the area of the first circle and S the area of the second one and T the total one
A=4^2× Pi
S=6^2× Pi
T = Pi( 4^2 +6^2)
= Pi ( 16+36) = Pi× 52
52 is the radius square
So r = root square 52 = 2 root square 13
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