https://file.aiquickdraw.com/mathbot/file/1725440437902mkhmiclo.jpg

To find the area of the sector \( OAB \) of the circle, we can use the following formula:

\[
\text{Area of sector} = \frac{\theta}{360^\circ} \times \pi r^2
\]

Where:
- \(\theta\) is the angle of the sector in degrees.
- \(r\) is the radius of the circle.

From the image:
- \(\theta = 91^\circ\)
- \(r = 28 \, \text{cm}\)

Now, let's plug in the values and calculate the area.

\[
\text{Area of sector} = \frac{91^\circ}{360^\circ} \times \pi \times (28 \, \text{cm})^2
\] 

I'll calculate this now.The area of the sector \( OAB \) is approximately **622.6 square centimeters** when rounded to one decimal place.

Would you like further details on this calculation, or do you have any questions?

Here are some related questions that might interest you:
1. How would the area change if the angle of the sector were smaller?
2. What would be the circumference of the entire circle?
3. How can you calculate the length of the arc \( AB \) for the sector?
4. What if the radius were different—how would that affect the area?
5. How does this formula relate to the area of a full circle?

**Tip:** Always ensure that your calculator is set to the correct mode (degrees or radians) when dealing with trigonometric calculations involving angles.

OAB is a sector of a circle. Work out the area of OAB. Give your answer to 1 decimal place. The angle is 91° and the radius is 28 cm.

Learn how to calculate the area of sector OAB in a circle with a 91° angle and a radius of 28 cm. This geometry problem involves applying the sector area formula. Suitable for students in Grades 9-10.

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