Problem

Area -
Circumference
Given:
$\overline{A C}$ is a
diàmeter $\mathbf{A O}$
is a radius
BD is a
diameter
OD is a
radius
\[
O A=5
\]
1. What is the area of the circle?
2. What is the
circumference of the circle?
3. How does the area of the small sector $A B O$ compare to the area of the circle?
4. How does the length of arc CD compare to the circumference of the circle?

Answer

Expert–verified
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Answer

Final Answer: The area of the circle is \(\boxed{78.54}\) square units.

Steps

Step 1 :Given that the radius of the circle is 5 units, we can calculate the area of the circle using the formula \(\pi r^2\).

Step 2 :Substitute the given radius into the formula: \(\pi (5)^2\).

Step 3 :Calculate the area to get approximately 78.54 square units.

Step 4 :Final Answer: The area of the circle is \(\boxed{78.54}\) square units.

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