A wire of length 308 cm is bent to form a circle. Find
the diameter of the circle so formed.
Answers
Step-by-step explanation:
Given:-
A wire of length 308 cm is bent to form a circle.
To find:-
A wire of length 308 cm is bent to form a circle.
Find the diameter of the circle so formed.
Solution:-
Length of the wire = 308 cm
If it is bent to form of a circle then the length of
the wire is equal to the total length of the circle.
Length of the wire = Total length of the circle
=>Circumference of the circle
=>308 cm
We know that,
Circumference of a circle = 2πr units
=>2πr = 308
=>2×(22/7)×r = 308
=>(44/7)×r = 308
=>r = 308×(7/44)
=>r = (308×7)/44
=>r = 2156/44
=>r = 49 cm
Radius of the circle = 49 cm
Diameter of the circle = 2× Radius
=>D = 2×49 cm
Diameter = 98 cm
(or)
The Circumference of a circle whose diameter is
d units is" πd "units
=>πd = 308
=>(22/7)×d = 308
=>d = 308×7/22
=>d = (308×7)/22
=>d = 2156/22
=>d = 98 cm
Diameter = 98 cm
Answer:-
Diameter of the given circle = 98 cm
Used formulae:-
- Circumference of a circle = 2πr units
- The Circumference of a circle whose diameter is 'd' units is" πd "units
- Diameter of the circle = 2× Radius
- π=22/7