The radius of two circles are 10 cm and 9 cm respectively .The radius of the circle which has circumference equal to the sum of the circumference of the two circles is?
Answers
Answer:
Let the radius of 3rd circle be r. Therefore, the radius of the circle which has circumference equal to the sum of the circumference of the given two circles is 28 cm.
༶•┈┈⛧┈♛Answer ♛┈⛧┈┈•༶
radius of first circle = 19 CM
circumference of first circle = 2πr1
radius of second circle = 9cm
circumference of second circle =2πr2
now
circumference of both circle=2πr1+2πr2
= 2π(r1+r2)
=2 ×22/7 (19+9)
=2×22/7 (28)
= 2×22×4
= 176cm
Since circumference of both circle = circumference of bigger circle
2πr = 176cm
2×22/7×r = 176cm
44/7 r =176
r= 176 × 7
—
44
r= 28 cm
Hence the radius of bigger circle= 28cm.
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