Dashboard / My courses / MAr1510-24-Ex10 / Welcome Message / MAT15 Find the area of a sector of a circle with central angle \( 60^{\circ} \) if the radius of the circle is 3 m . Choose the correct option.

To find the area of a sector, we use the formula: \[ \text{Area} = \frac{\theta}{360^\circ} \times \pi r^2 \] where \(\theta\) is the central angle in degrees and \(r\) is the radius. Plugging in the values: \[ \text{Area} = \frac{60}{360} \times \pi \times (3^2) = \frac{1}{6} \times \pi \times 9 = \frac{3\pi}{2} \text{ m}^2 \approx 4.71 \text{ m}^2 \] Thus, the correct option is approximately \(4.71 \text{ m}^2\). Finding the area of a sector is like slicing up a delicious pizza! The bigger the angle, the larger the slice you get to enjoy. Always remember, using degrees or radians matters, so stay sharp like a pizza cutter while doing your math! Next time you’re working on sectors, think of real-life applications like figuring out how much "pizza" you’ll get at your next party. It’s also useful in designing anything circular, like the logo for your favorite band—because everyone loves a well-made circle!