Question

(b) 0.4 rad 15 a =

Explanation:

Step1: Recall the formula for the area of a sector

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: Identify the values of $r$ and $\theta$

From the problem, we have $r = 15$ and $\theta=0.4$ rad.

Step3: Substitute the values into the formula

$A=\frac{1}{2}\times15^{2}\times0.4$. First, calculate $15^{2}=225$. Then, $\frac{1}{2}\times225\times0.4=\frac{1}{2}\times90 = 45$.

Answer:

$45$