Question 20 of 25To the nearest square centimeter, what is the area of the shaded sector in the circle shown below?A.201 cm2B.22 cm2C.346 cm2D.87 cm2

To solve the problem of finding the area of a shaded sector in the circle, we will follow these steps:

1. Break Down the Problem

We need to determine the area of the shaded sector of a circle. This requires:

• The radius of the circle.
• The angle of the sector in degrees or radians.

2. Relevant Concepts

The area $A$ of a sector of a circle can be calculated using the formula: $A = \frac{\theta}{360} \times \pi r^2$ Where:

• $\theta$ is the angle of the sector in degrees.
• $r$ is the radius of the circle.

3. Analysis and Detail

Since the radius and angle are not provided in the question, I'll assume the following example values for this analysis:

• Let’s say the radius $r = 10 \, \text{cm}$
• Let’s say the angle $\theta = 60^\circ$

Now, we can calculate the area using the formula.

Step 1: Plug Values into the Formula

$A = \frac{60}{360} \times \pi (10)^2$

Step 2: Simplify the Equation

$A = \frac{1}{6} \times \pi \times 100$ $A = \frac{100\pi}{6} \approx 52.36 \, \text{cm}^2$

4. Verify and Summarize

Since the example calculation with a radius of 10 cm and angle of 60° gives approximately $52.36 \, \text{cm}^2$, and does not match the choices.

However, if the correct radius or angle were provided in the original question, we would perform the calculations accordingly.

Final Answer

Without the specific radius and angle values provided in the image, we cannot determine the exact area accurately. Please provide those values for a precise calculation to match the given options (A: 201 cm², B: 22 cm², C: 346 cm², D: 87 cm²).