Question

1. - / 1 points find the area of a sector with central angle 1 rad in a circle of radius 14 m m²

Explanation:

Step1: Recall sector - area formula

The formula for the area of a sector of a circle is $A=\frac{1}{2}r^{2}\theta$, where $r$ is the radius of the circle and $\theta$ is the central - angle in radians.

Step2: Substitute given values

Given $r = 14$ m and $\theta=1$ rad. Substitute these values into the formula: $A=\frac{1}{2}\times(14)^{2}\times1$.

Step3: Calculate the result

First, $(14)^{2}=196$. Then, $\frac{1}{2}\times196\times1 = 98$.

Answer:

$98$