Answer:
[tex]13 * \Pi[/tex]
Step-by-step explanation:
Assuming that 6cm denotes the radius of the circle, the way to solve this problem is to calculate the area of the whole circle and then determine how big a part the shades region is out of the full circle. We can actually begin with that second part. A full circle is 360° so the shaded part here is [tex]\frac{130^{o}}{360^{o}} = \frac{13}{36}[/tex]
The area A of a circle given the radius r is given by the formula A=π*r²
Inserting in the formula for r = 6 we get A = π*6² = 36π
Finally to find the area of the shaded region with multiply the full area by the quotient representing the shaded part.
[tex]36*\Pi * \frac{13}{36} = \frac{36*\Pi*13}{36} = 13*Pi[/tex]
