The circumference of a circle is 31.4 cm. What is the radius of the circle? (Use

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Question: The circumference of a circle is 31.4 cm. What is the radius of the circle? (Use π = 3.14) (2019)

Options:

Correct Answer: 5 cm

Exam Year: 2019

Solution:

Circumference = 2πr => r = circumference / (2π) = 31.4 / (2 * 3.14) = 5 cm

The circumference of a circle is 31.4 cm. What is the radius of the circle? (Use π = 3.14) (2019)

The circumference of a circle is 31.4 cm. What is the radius of the circle? (Use π = 3.14) (2019)

Step 1: Understand that the circumference of a circle is given by the formula: Circumference = 2πr, where r is the radius.
Step 2: We know the circumference is 31.4 cm and we will use π = 3.14.
Step 3: Rearrange the formula to find the radius (r): r = Circumference / (2π).
Step 4: Substitute the values into the formula: r = 31.4 / (2 * 3.14).
Step 5: Calculate the denominator: 2 * 3.14 = 6.28.
Step 6: Now divide the circumference by the calculated denominator: r = 31.4 / 6.28.
Step 7: Perform the division: r = 5 cm.

Circumference of a Circle – The circumference of a circle is calculated using the formula C = 2πr, where C is the circumference and r is the radius.
Solving for Radius – To find the radius, rearranging the circumference formula to r = C / (2π) is necessary.
Use of π – Understanding that π can be approximated as 3.14 for calculations is crucial in this problem.