A sundial has a circular base with a diameter of 90 feet as shown in the diagram. Use 3.14 for π
.



Which measurement is closest to the area of the circular base of the sundial in square feet?
A.3,627.5 ft2
B.282.6 ft2
C.141.3 ft2
D.6,358.5 ft2
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The area \( A \) of a circle is given by the formula:

\[
A = \pi r^2
\]

where \( r \) is the radius of the circle. In this case, the diameter of the circular base is 90 feet, so the radius is:

\[
r = \frac{90}{2} = 45 \text{ feet}
\]

Now, using \( \pi = 3.14 \), the area is calculated as:

\[
A = 3.14 \times (45)^2 = 3.14 \times 2025 = 6358.5 \text{ square feet}
\]

So, the closest measurement to the area of the circular base is:

**D. 6,358.5 ft²**

Would you like a more detailed breakdown of the steps, or do you have any questions?

Here are 5 related questions to further your understanding:

1. How would the area change if the diameter were increased to 100 feet?
2. What is the circumference of the circular base with the given diameter?
3. How does the value of \( \pi \) affect the calculation of a circle's area?
4. If the sundial's height is 20 feet, how can we calculate the volume of a cone with this base?
5. What is the relationship between the radius and the area of a circle?

**Tip**: Always double-check the radius when using the formula for the area of a circle!

A sundial has a circular base with a diameter of 90 feet as shown in the diagram. Use 3.14 for π. Which measurement is closest to the area of the circular base of the sundial in square feet? A. 3,627.5 ft² B. 282.6 ft² C. 141.3 ft² D. 6,358.5 ft²

Learn how to calculate the area of a circular base with a diameter of 90 feet using the formula A = πr². In this problem, the radius is 45 feet, and π is approximated as 3.14, resulting in an area of 6,358.5 square feet. This problem is suitable for students in Grades 6-8, covering key geometry concepts.

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