A catalog of scientific equipment states that the lens of a particular telescope has a circumference of 6.28 yards. What is the lens's area?
Question
A catalog of scientific equipment states that the lens of a particular telescope has a circumference of 6.28 yards. What is the lens's area?
Solution
To find the area of the lens, we first need to find the radius. We know that the circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
Given that the circumference C is 6.28 yards, we can rearrange the formula to solve for r:
r = C / (2π) = 6.28 / (2π) = 1 yard
Now that we have the radius, we can find the area A of the lens using the formula A = πr²:
A = π(1)² = π = 3.14 square yards
So, the area of the lens is approximately 3.14 square yards.
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