If the area of a circle is 50.24 square meters, what is the radius of the circle

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Question: If the area of a circle is 50.24 square meters, what is the radius of the circle? (Use π = 3.14)

Options:

Correct Answer: 5

Solution:

Area = π × radius², so radius² = Area / π = 50.24 / 3.14 = 16, thus radius = √16 = 4 meters.

If the area of a circle is 50.24 square meters, what is the radius of the circle? (Use π = 3.14)

If the area of a circle is 50.24 square meters, what is the radius of the circle? (Use π = 3.14)

Step 1: Write down the formula for the area of a circle, which is Area = π × radius².
Step 2: We know the area is 50.24 square meters and π is 3.14.
Step 3: Substitute the values into the formula: 50.24 = 3.14 × radius².
Step 4: To find radius², divide both sides by 3.14: radius² = 50.24 / 3.14.
Step 5: Calculate 50.24 divided by 3.14, which equals 16.
Step 6: Now we have radius² = 16. To find the radius, take the square root of 16.
Step 7: The square root of 16 is 4, so the radius is 4 meters.

Area of a Circle – The area of a circle is calculated using the formula A = π × radius², where A is the area and radius is the distance from the center to the edge of the circle.
Square Root Calculation – Finding the radius involves taking the square root of the value obtained after rearranging the area formula.
Use of π – The problem specifies using π as 3.14, which is a common approximation for calculations.