the radii of two circles are the 19 cm and 9 cm find the radius of the circle with circumference equal to the sum of the circumference of the two circles
Answers
Answer:28
Step-by-step explanation:
Sum of circumference of two circle =(2πr1)+(2πr2)
=2π(19+9)
=176
Radii of circle=(circumference)÷2π
=176÷(2π)
=28
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.
hope it helps u