Respuesta :

Area enclosed in [tex] 2\pi[/tex] radians =$\pi r^2$

so area enclosed in $\theta$ radians=$\theta \times \frac{\pi r^2}{2\pi}= \frac{1}2\theta r^2$

does this answer your question?

Answer: 5pi

===================================================

Explanation:

2pi radians is equal to 360 degrees.

The shaded region has a central angle 2pi/5 radians

Divide 2pi/5 over 2pi to end up with 1/5. The "2pi" terms cancel.

The shaded region is 1/5 of the full circle.

The full circle area is pi*r^2 = pi*5^2 = 25pi square units

Taking 1/5 of that leads to (1/5)*25pi = 5pi which is the area of the shaded region.

Otras preguntas