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Question
a math 7 student had a poster with an escher print on it. the diameter of the circle on the poster is 15 cm. what is the area of the circle in the poster?
Step1: Calculate the circle's radius
The radius $r$ is half the diameter.
$r = \frac{15}{2} = 7.5$ cm
Step2: Apply the circle area formula
Use the formula $A = \pi r^2$ for circle area.
$A = \pi \times (7.5)^2 = \pi \times 56.25 = 56.25\pi$ cm²
(If using $\pi \approx 3.14$, $A \approx 56.25 \times 3.14 = 176.625$ cm²)
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The area of the circle is $56.25\pi$ square centimeters (or approximately 176.625 square centimeters).