Question

The radius of a circle is 6mm. What is the area of the shaded portion of the circle.

Answer 1

The area of the shaded portion of the circle is $\frac{29\pi}{3} \ mm^{2}$. The correct option is b) 29 π mm² got to station 3

Area of a sector

From the question, we are to determine the area of the shaded portion.

The shaded portion in the circle is the major sector.

The area of a sector is given by the formula,

$A = \frac{\theta}{360 ^\circ} \times 2\pi r$

Where $\theta$ is the angle subtended by the sector

and r is the radius of the circle.

From the given information,

r = 6 mm

and $\theta$ is the angle subtended by the major sector

Therefore

$\theta = 360^\circ - 70^\circ$

$\theta = 290^\circ$

Putting the parameters into the formula, we get

$A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6$

Simplifying

$A = \frac{29}{3} \tim\pi \ mm^{2}$

Hence, the area of the shaded portion of the circle is $\frac{29\pi}{3} \ mm^{2}$. The correct option is b) 29 π mm² got to station 3

Lear more on area of a sector here: https://brainly.com/question/10090807