Question

A semicircle is divided into two sector
whose angles are in the ratio 4:5. Fin
the ratio of their arcas?
A) 5:1
B) 4:5
C) 5:4
D) 3:4
7)
The​

Answer 1

Answer:

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Step-by-step explanation:

Ratio of angles = 4:5

Let, angles = 4x and 5x

Ratio of areas:

⇒ ( $\frac{4x}{360}$ * πr² ) ÷ ( $\frac{5x}{360}$ * πr² )

⇒ $\frac{4x}{360} *$ π $r^{2}$ x $\frac{360}{5x}$ * 1/πr²

⇒ $\frac{4}{5}$

⇒ 4:5