The radii of two circles are 10 and 15 cm respectively. Find the radius of the
circle whose circumference is equal to the sum of the circumference of two
circles and also find area of resulting circle
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Step-by-step explanation:
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Answer:
ANSWER
Given:
The radii of two circles are r
1
=15 cm & r
2
=18 cm.
To find out:
The radius r of the circle whose circumference C=C
1
+C
2
.
Solution:
We have C
1
=2πr
1
& C
2
=2πr
2
.
∴ The resulting circumference C=2πr=C
1
+C
2
=2π(r
1
+r
2
)
=2π(15+18) cm=66π cm.
∴ We have, 2πr=66π⇒r=
2
66
cm=33 cm.
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