Question

NO LINKS!! Consider the following​

Answer 1

(a) 168 cm

(b) 5880 cm²

Explanation:

Given:

• θ = 2.4
• d = 140 cm

As the radius r of a circle is half its diameter d:

• r = 70 cm

Part (a)

`\boxed{\begin{minipage}{6.4 cm}\underline{Arc length}\\\\Arc length $=r \theta$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in radians.\\\end{minipage}}`

`\begin{aligned}\implies \sf Arc\;length&=\sf 70 \cdot 2.4\\ & =\sf 168\;cm\end{aligned}`

Part (b)

`\boxed{\begin{minipage}{6.4 cm}\underline{Area of a sector}\\\\$A=\frac12 r^2 \theta$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in radians.\\\end{minipage}}`

`\begin{aligned}\implies A&= (1)/(2) \cdot 70^2 \cdot 2.4\\\\&= (1)/(2) \cdot 4900 \cdot 2.4\\\\&= 2450 \cdot 2.4\\\\&= 5880\;\; \sf cm^2 \end{aligned}`