Answer:
[tex]\frac{75}{16}\pi[/tex] m² or ≈14.73 m²
Step-by-step explanation:
To find the area of a circle, we use the formula A = πr²
Here we only need to find the area of a sector of the circle. To do so, we need to multiply the area formula by the measured angle divided by 360°
In this case, our measured angle is 30°, so we need to multiply πr² by [tex]\frac{30}{360}[/tex]
Plugging in our values we get A = [tex]\frac{30}{360}\pi (7.5)^{2}[/tex] which then simplifies to [tex]\frac{75}{16}\pi[/tex] m² or ≈14.73 m²
