if the circumference of the circle is 46cm^2 find the radius and diameter of the circle?
Answers
Step-by-step explanation:
Given:-
The circumference of the circle is 46cm
To find:-
Find the radius and diameter of the circle?
Solution:-
Method -1:-
Given that
The Circumference of a circle = 46 cm
We know that
The radius of a circle is 'r' units then the circumference of the circle is 2πr units
=>2 π r = 46
=>2 × (22/7)× r = 46
=>(44/7)× r = 46
=> 44 r / 7 = 46
=>44 r = 46×7
=>r = 46×7/44
=>r = 23×7/22
=>r = 161/22
=>r = 7.32 cm (approximately)
We know that
Diameter = 2× radius
=>Diameter = 2×7.32 cm
Diameter = 14.64 cm
Method -2:-
Given that
The Circumference of a circle = 46 cm
We know that
The diameter of a circle is 'd' units then the circumference of the circle is πd units
=> π d = 46
=>(22/7)× d = 46
=>22 d/7 = 46
=>22 d = 46×7
=>22 d = 322
=>d = 322/22
=>d = 161/11
=>d = 14.64 cm (approximately)
Diameter = 14.64 cm
We know that
Radius = Diameter/2
=>Radius = 14.64 cm /2
Radius = 7.32 cm
Answer:-
Radius of the circle = 7.32 cm
Diameter of the circle = 14.64 cm
Used formulae:-
- The radius of a circle is 'r' units then the circumference of the circle is 2πr units
- The diameter of a circle is 'd' units then the circumference of the circle is πd units
- Radius = Diameter/2
- Diameter = 2× radius
- Circumference of a circle are in units like centimetres,metres and kilometres
Answer:
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