Question

Find the area of a sector whose length of the arc is 50 mm and radius is 14 mm​

Answer 1

Answer:

Here, length of arc= 50 mm

Radius=14mm

Therefore, area of sector is given by

A= arc length *radius

=50*14=700mm^2

Answer 2

The area of a sector is 350 square mm

Solution:

Given:

Arc length = 50 mm

Radius = 14 mm

To find : area of sector

Find the circumference:

$c = 2 \times \pi \times r \\\\c = 2 \times \frac{22}{7} \times 14 \\\\c = 88\ mm$

Find the area:

$Area = \pi \times r^2 \\\\Area = \frac{22}{7} \times 14^2 \\\\Area = 616\ mm^2$

Find the area of the sector:

$\text{ Area of the sector } = \frac{arc\ length}{Circumference } \times Area\\\\\text{ Area of the sector } = \frac{50}{88} \times 616 \\\\\text{ Area of the sector } = 350\ mm^2$

Thus area of a sector is 350 square mm

Learn more:

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