WHAT IS THE AREA OF THE
CIRCLE, IF THE CIRCUM
FERENCE OF CIRELE is
44 CM? +
Answers
The formula for finding the area A of a circle is: A = πr², where r is the radius of the circle, and, for this problem, let's let the famous irrational number π= 3.14.
The formula for finding the circumference C of a circle is: C = 2πr. Solving for radius r in terms the circumference C, we get:
C = 2πr
C/(2π) = (2πr)/(2π)
C/(2π) = [(2π)/(2π)]r
C/(2π) = [1]r
r = C/(2π), but C = 44 cm; therefore, we have:
r = (44 cm)/(2π)
Now, substituting this result into the formula for the area of a circle, we get:
A = πr²
= π[(44 cm)/(2π)]²
= π(44 cm)²/(2π)² by the Power of a Quotient Property for positive integral exponents
= π[(44 cm)(44 cm)]/[(2π)(2π)]
= π[1936 cm²]/[4π²]
= π[1936 cm²]/[(4)(π²)]
= π[1936 cm²/4](1/π²)
= [1936 cm²/4](π/π²)
= 484 cm²(1/π)
= 484 cm²/π
= 484 cm²/3.14
= 154.14 cm² is the area of the given circle (rounded to 2 decimal places).
Friends.. !
We know that Circumference of circle is 2πr
Where r is the radius of the circle
As per statement the circumference of circle is 44 cm
Circumference of circle = 44 cm
2πr = 44 cm
2 × 22/7 × r = 44
44/7 × r = 44
r = 44 ÷ 44/7
r = 44 × 7 / 44
r = 7 cm
The radius of the circle is 7 cn
We know Area of the circle is πr^2
Where r is the radius
Area of circle = 22/7 × 7 × 7
Area of circle = 22 × 7
Area of circle = 154 sq. cm
Answer: the area of the circle is 154 sq cm.
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My dear friend Chandrakala Gangula,
W shave given that the perimeter of the circle is =44 cm . Actually it is not the perimeter it is circumference (परिधि) of the circle.
Find out the Area of the Circle A=?
Circumference = 44 cm
2πr = 44 cm
r = [(44×7)/(2×22)]= 7 cm
Now the Area A = πr^2 = (22/7)×{7}^2
Area A = (22×7) = 154 cm^2 answer.
I hope that your doubt will be cleared up my dear friend.