Q: The ratio of the radii of ture circles is 3.2. What
is the ratio of the circumfrences
Answers
Answer:
let the radius be 3x:2X
r1=3x
r2=2x
circumference of first circle = 2* pi * r1
=2*22/7*3x
circumference of second circle= 2*pi*r2
= 2*22/7*2x
therefore ratio of both the circumference=( 2*22/7*3x)/(2822/7*2x)
=3:2
Step-by-step explanation:
Given :-
- The ratio of the radii of two circles is 3.2.
To Find :-
- The ratio of the ccircumfrences = ?
Answer :-
Let the radius of first circle be r and radius of second circle be R.
Let r of first circle be 3x and R of second circle be 2x.
★ According to Question :-
→ Circumference of first circle = 2πr
→ Circumference of first circle = 2π(3x)
Also,
→ Circumference of second circle = 2πR
→ Circumference of second circle = 2π(2x)
Now,
→ Circumference of 1st circle ÷ Circumference of 2nd circle = 2π(3x) ÷ 2π(2x)
→ 3x ÷ 2x
→ 3 ÷ 2
Therefore,the ratio of the Circumference of the Circle is 3 : 2.
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Extra Shots :-
- Volume of cylinder = πr²h
- T.S.A of cylinder = 2πrh + 2πr²
- Volume of cone = ⅓ πr²h
- C.S.A of cone = πrl
- T.S.A of cone = πrl + πr²
- Volume of cuboid = l × b × h
- C.S.A of cuboid = 2(l + b)h
- T.S.A of cuboid = 2(lb + bh + lh)
- C.S.A of cube = 4a²
- T.S.A of cube = 6a²
- Volume of cube = a³
- Volume of sphere = 4/3πr³
- Surface area of sphere = 4πr²
- Volume of hemisphere = ⅔ πr³
- C.S.A of hemisphere = 2πr²
- T.S.A of hemisphere = 3πr²