The circumference of two concentric circles are 121 cm and 154 cm. Calculate the difference between their radii
Answers
Answer:
circumference of bigger circle= 2πr1
154=2πr
154/2π =r1
circum. of smaller circle= 2πr2
121 =2πr2
121/2π=R2
difference r1-r2=154/2π- 121/2π
=33/2π
Answer:
hence answer is 10.25 cm
Step-by-step explanation:
let r be the radius of small cocentric circle and r' be the radius of large cocentric circle .
now
circumference of smaller circle=2×22÷7×r
121= 2×22÷7×r
121×7÷2×22= r
or r = 121×7÷2×22
r = 11×7÷2×2
r = 77÷4
r = 14.25cm
now circumference of bigger circle = 2×22÷7×r
154 = 2× 22÷7×r
154×7÷2×22= r
or r = 154×7÷2×22
. r = 7×7÷2
r = 49÷2
r = 24.5 cm
now according to question ..
difference between the radii of the two circles = 24.5-14.25
= 10.25cm