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An equilateral triangle is arcumscribed by a circle of radius 10cm.

Find (i) the area of the circle

User Scana
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Final answer:

To calculate the area of the circle that circumscribes an equilateral triangle with a radius of 10 cm, we use the formula A = πr², which yields approximately 314.15927 cm². This answer should be rounded to two significant figures, giving an area of 310 cm².

Step-by-step explanation:

The student is asking for the area of the circle that circumscribes an equilateral triangle with a given radius of 10 cm. To find the area of a circle, we use the formula A = πr², where A is the area and r is the radius of the circle. Plugging the given radius into the formula, we have:

A = π(10 cm)²

A = π (100 cm²)

A = 314.15927 cm²

Since the provided radius has two significant figures, the area should also be presented with two significant figures:

A = 310 cm² (to two significant figures)

This provides us with the approximate area of the circle in square centimeters.

User Jessi
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