The radii of two circles are 10 and 15 cm respectively. Find the radius third circle which has circumfrence equal to the sum of the circumfrences of the two circles.
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Step-by-step explanation:
c3=c1+c2
2πr3=2πr1+2πr2
r3=r1+r2
r3=10+15
r3=25
Answered by
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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.
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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