Question

The radio of two circles are 19 cm and 9cm respectively.Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles

Answer 1

given 1 circle radius = 9 cm
2 circle radius = 19 cm
so 1 circle circumference = 2 pie r
= 2×22/7 ×9 = 56.57
2 circumference of circle = 2 pie r
= 2×22/7 ×19= 119.42
total sum of circumference 119.42+56.57 =175.99
it's circumference of new circle
2 pie r = 175. 99
2×22/7 ×r = 175.99
r = 175.99×7 /22×2
so now u find new radius

Answer 2

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 is helpful for u ✔✔✔☑☑