if the perimeter & the area of a circle are equal, then find the radius of the circle
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›»› The radius of the circle will be 2.
Given :
- The perimeter and the area of a circle are equal.
To Find :
- The radius of the circle = ?
Solution :
As we know that
→ Perimeter of circle = 2πr
→ Area of circle = πr²
The perimeter and the area of a circle are equal.
According to the given question,
→ Perimeter of circle = Area of circle
→ 2πr = πr²
→ 2πr = π r * r
→ 2r = r * r
→ 2 = r
→ r = 2
║Hence, the radius of the circle will be 2.║
Additional Information :
Circle :
- Circle is a round shape shaped figure.
- Circle has no corners or edges.
- A circle can be defined as a closed, two-dimensional curved shape.
- A circle has 5 part : Diameter, Chord, Radius, Arc and tangent.
What is the formula of Area of circle ?
➝ Area of circle = πr²
Where,
- The value of π is 22/7 or 3.14.
- r is the radius in cm or m.
What is the formula of Perimeter of circle ?
➝ Perimeter of circle = 2πr
Where,
- The value of π is 22/7 or 3.14.
- r is the radius in cm or m.
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