Sophia plays a snare drum that has a diameter of 17.6 centimeters. What is the drum's area?
Question
Sophia plays a snare drum that has a diameter of 17.6 centimeters. What is the drum's area?
Solution
To find the area of a circle (which is the shape of the drum's surface), we use the formula:
Area = πr²
where r is the radius of the circle. The radius is half the diameter, so in this case, r = 17.6 cm / 2 = 8.8 cm.
Substituting the value of r into the formula, we get:
Area = π * (8.8 cm)² = π * 77.44 cm² = 243.28 cm²
So, the area of the drum's surface is approximately 243.28 square centimeters.
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