Question
a clock face has a diameter of 10 inches. what is the approximate area of the clock face in square inches
Answers
GPT-4o mini
To find the area of a circle, you can use the formula:
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. The diameter of the clock face is 10 inches, so the radius \( r \) is half of that:
\[
r = \frac{\text{diameter}}{2} = \frac{10 \, \text{inches}}{2} = 5 \, \text{inches}
\]
Now, you can substitute the radius into the area formula:
\[
\text{Area} = \pi (5 \, \text{inches})^2 = \pi (25 \, \text{square inches}) = 25\pi \, \text{square inches}
\]
Using an approximate value for \( \pi \) of 3.14:
\[
\text{Area} \approx 25 \times 3.14 = 78.5 \, \text{square inches}
\]
So, the approximate area of the clock face is \( 78.5 \) square inches.
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. The diameter of the clock face is 10 inches, so the radius \( r \) is half of that:
\[
r = \frac{\text{diameter}}{2} = \frac{10 \, \text{inches}}{2} = 5 \, \text{inches}
\]
Now, you can substitute the radius into the area formula:
\[
\text{Area} = \pi (5 \, \text{inches})^2 = \pi (25 \, \text{square inches}) = 25\pi \, \text{square inches}
\]
Using an approximate value for \( \pi \) of 3.14:
\[
\text{Area} \approx 25 \times 3.14 = 78.5 \, \text{square inches}
\]
So, the approximate area of the clock face is \( 78.5 \) square inches.