The formula for the circumference of a circle is either,C = 2πrorC = πd The circumference of a circle is 25 cm.What is the radius of the circle to the nearest whole centimetre?A. 3B. 4C. 5D. 6
Question
The formula for the circumference of a circle is either,C = 2πrorC = πd The circumference of a circle is 25 cm.What is the radius of the circle to the nearest whole centimetre?A. 3B. 4C. 5D. 6
Solution
To find the radius of the circle, we can rearrange the formula for the circumference of a circle to solve for r (radius). The formula is C = 2πr, where C is the circumference and r is the radius.
Given that the circumference (C) is 25 cm, we can substitute this into the formula and solve for r:
25 = 2πr
To isolate r, we divide both sides of the equation by 2π:
r = 25 / 2π
Using the approximation of 3.14 for π, the equation becomes:
r = 25 / (2 * 3.14)
r ≈ 3.98 cm
Rounding to the nearest whole centimetre, the radius of the circle is approximately 4 cm. So, the correct answer is B. 4.
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