Perimeter of a circle is 1.1 cm. Find the area of the circle.a)0.9625c...
Your answer is option D and this will by these steps-
*Perimeter of circle =Circumference of circle i.e. 2 × 22/7 × R
*Find Radius by above formula.
*Area of circle =22/7 × R × R
AND YOU WILL FOUND YOUR ANSWER.
Perimeter of a circle is 1.1 cm. Find the area of the circle.a)0.9625c...
The perimeter of a circle is the distance around its outer edge. It is calculated by multiplying the diameter of the circle by the mathematical constant π (pi). The formula for the perimeter (P) of a circle is P = 2πr, where r is the radius of the circle.
In this problem, we are given the perimeter of the circle as 1.1 cm. We need to find the area of the circle. The formula for the area (A) of a circle is A = πr^2.
To find the area, we first need to find the radius of the circle. We can do this by rearranging the formula for the perimeter:
P = 2πr
1.1 = 2πr
Dividing both sides of the equation by 2π, we get:
r = 1.1 / (2π)
Now that we have the radius, we can substitute it into the formula for the area:
A = πr^2
A = π(1.1 / (2π))^2
Simplifying the expression, we get:
A = (1.1^2 / (2π))
Now we can calculate the area using a calculator:
A ≈ 0.096254 cm^2
So the correct answer is option 'D' - 0.09625 cm^2.
In summary:
- The perimeter of a circle is the distance around its outer edge.
- The formula for the perimeter (P) of a circle is P = 2πr, where r is the radius of the circle.
- The formula for the area (A) of a circle is A = πr^2.
- To find the area, we first need to find the radius using the formula for the perimeter.
- Substitute the radius into the formula for the area and calculate the value.
- The correct answer is option 'D' - 0.09625 cm^2.
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