Question

find the area of the sectors. whose of the leagth of the arc=48m,r=10 step by step ​

Answer 1

$answer$

Length=48m.

Radius =10m.

circumference =2π(10)=10πm. Find the area:

Area = π(10)^2=100πm^2. Find the area of the sector:

Arc Length = 48m. Area of the sector = ( arc length / Circumference ) x Area.

Area of the sector =(48m/10πm)×100πm^2.

=480m^2. Hence the area of sector is 480m^2.

Answer 2

Question :-

find the area of the sectors. whose of the leagth of the arc=48m,r=10 .

Answer :-

$\longrightarrow$ 240 cm².

Given :-

✪ Length of the arc = 48 cm

✪ Radius = 10 cm .

Formula :-

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \color{orange} \underline{ \boxed{\sf \: Area \: of \: sector \: = \: \frac{1}{2} \times length \times radius \: \: \: \: \: \: }}$

SoluTíon :-

Now , put the values in given formula,

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : \: \: \longrightarrow \: \: \: \rm{ \frac{1}{2} \times 10 \times 48 }$

$\\ \: \: \: \: \: \: \: \: \: \: \: \: : \: \: \longrightarrow \: \: \: \rm{ \frac{1}{ \cancel2} \times 10 \times \cancel{48 }}$

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: : \: \: \longrightarrow \: \: \: \rm{ 10 \times 24 }$

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: : \longrightarrow \: \: \: \ \pink{\boxed{ \frak{ \: a \: = \rm{ 240 }}}}$

$\therefore \: \: \: \: \textbf{the \: area \: of \: sector \: is \: \color{lime}{\underline{240cm ²}}}$

Note :-

✪ Learn the formulae related to this question .

Thank you !