Question

The radius of a circle is 21 cm. Find the perimeter of the quadrant circle​

Answer 1

Step-by-step explanation:

Perimeter of circle ⭕= 2πr

perimeter of quadrant circle=

$\frac{2\pi \: r}{4} = \frac{\pi \: r}{2}$

$= \frac{22 \times 21}{7 \times 2} \\ = 33m$

Answer 2

Question:

The radius of a circle is 21 cm. Find the perimeter of the Quadrant Circle.

Analysis:

Quadrant Circle: A circular sector or circle sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. In the diagram, θ is the central angle, r the radius of the circle, and L is the arc length of the minor sector.

✯ Area of Quadrant Circle = $\frac{1}{4}πr²$

✯ Perimeter = $(\frac{π}{2}+2)r$

______________________

Solution:

Given,

Radius of Circle = 21cm

Perimeter of Circle = $\sf{2πr}$

In a Circle there are 4 Quadrants

Then,

$\boxed{\sf{Perimeter\;of\;Quadrant \;Circle = (\frac{π}{2}+2)r}}$

$→\;\Large{\sf{(\frac{\frac{22}{7}}{2}+2)21}}$

$→\;\Large{\sf{(\frac{22}{14}+2)21}}$

$→\;\Large{\sf{(\frac{22+28}{14})21}}$

$→\;\Large{\sf{\frac{50}{14}×21}}$

$→\;\Large{\sf{\frac{50×21}{14}}}$

$→\;\Large{\sf{\cancel{\frac{1050}{14}}}}$

$→\;{\bf{75}}$

AnSweR:

Perimetre of Quadrant Circle

◕➜ $\Large{\red{\bf{75cm}}}$

Hope It Helps You ✌️