Question

find the area of a quarter of the circle which has radius 24cm​

Answer 1

Answer:-

» 452.57 cm²

Given:-

• A circle with radius 24 cm

To Find:-

• The area of a quarter of the circle

Solution:-

~We know that

Area = πr²/4

~Where

R = Radius

π = 22/7

Putting values:-

Area = π × r²/4

Area = 22/7 × 24²/4

Area = 22/7 × 24 × 24/4

Area = 22/7 × 6 × 24

Area = 22/7 × 144

Area = 3168/7

Area = 452.57 cm² ( approx )

Hence, the area of a quarter of the circle is 452.57 cm²

_________________

Answer 2

✬ The area of a quarter of the circle is 452.57 cm² ✬

Step-by-step explanation:

Given: Radius of a quarter of the circle is 24 cm.

To find: Area of a quarter of the circle

Required Formula:

• Area of a quarter of the circle = πr²/4

Where,

• A = Area of a quarter of the circle
• π = 22/7
• r = radius

Solution:

$\\ :\implies\sf{A = \frac{ \frac{22}{7} \times {24}^{2} }{4}} \\ \\ :\implies\sf{A = \frac{ \frac{22}{7} \times \cancel{24}\times 24}{ \cancel{4}}} \\ \\ :\implies\sf{A = \frac{22}{7} \times 6 \times 24} \\ \\ :\implies\sf{A = \frac{22}{7} \times 144 } \\ \\ :\implies\sf{A = \frac{ \cancel{3168}}{ \cancel{7}}} \\ \\ :\implies \underline{\boxed{\frak{A =452.57 \: {cm}^{2}(approx)}}} \: \pink{ \bigstar}$