Question

$\huge\bigstar\underline\mathfrak{Answer:-}$
Find the area of sector of a circle with radius 14 cm if angle of the sector is 90°​

Answer 1

Answer:

Area of a sector of the circle =154 cm²

Step-by-step explanation:

Given:-

A sector of a circle with radius 14 cm if angle of the sector is 90°

To find:-

Find the area of sector of a circle with radius 14 cm if angle of the sector is 90°

Solution:-

Radius of the circle (r)=14cm

Angle of the sector(x)=90°

Using formula:-

The angle of a sector x° and the radius of the circle is r units then the area of the sector is denoted by A and it is defined by

(x/360)×πr² sq.units

=>A=(90°/360°)×(22/7)(14)²cm²

=>A=(1/4)(22/7)(196)cm²

=>A=22×49/7cm²

=>A=22×7cm²

=>A=154 cm²

Answer:-

Area of a sector of the circle =154 cm²

Answer 2

$\huge{ \underline{ \underline{ \color{magenta}{ \mathfrak{question}}}}}$

Find the area of sector of a circle with radius 14 cm if angle of the sector is 90°

$\huge{ \red{ \underline{ \underline{ \mathfrak{ \color{orange}{answer}}}}}}$

$\tt{ \blue{ \to154{cm}^{2} }}$

$\huge{ \color{aqua}{ \underbrace{ \underline{ \color{lime}{ \mathbb{✯꧁᭄⋆SoLuTiOn⋆᭄꧂✯ }}}}}}$

$\tt{ radius \: of \: the \: circle = 14cm}$

$\tt{if \: the \: angle \: of \: the \: sector \: is \: 90 {}^{0} }$

$\tt{that \: mean \: the \: sector \: is \: \frac{1}{4} th \: of \: the \: circle}$

$\tt{ \because \: area \: of \: a \: quarter \: of \: a \: circle}$

$\tt{ \color{gold}{ = \frac{1}{4} \pi \: r^{2}} }$

$\tt{ \to \frac{1}{4} \pi14×14}$

$\tt{\because \pi = \frac{22}{7} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (approx)}$

$\tt{ \to \frac{1} { \cancel4 {}^{ \cancel2} {}^{1}} \times \frac{ \cancel{22} {}^{11} }{ \cancel7 {}^{1} } \times \cancel{14} {}^{ \cancel2} {}^{1} ×14 }$

$\tt{\to 11 × 14}$

$\tt { \to \red{154cm {}^{2}}}$

Therefore the Area of the sector = 154cm2