Question

find the area of sector whose arc length and radius are 15cm and 6cm respectively​

Answer 1

Answer:

Tips on Area of Sector

The area of a sector of a circle is the fractional area of the circle.

The area of a sector of a circle with radius 'r' is calculated with the formula, Area of a sector = (θ/360º) × π r2

The arc length of the sector of radius r can be calculated with the formula, Arc Length of a Sector = r × θ

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Answer 2

Answer:

The area of the sector of the circle is  45 cm²

Step-by-step explanation:

Given that arc length = 15cm

and radius = 6cm

We know that arc length = radius * angle

Substituting the values, we get,

=> 15 = 6*$\theta$

=> 15/6 = $\theta$

=> $\theta$ = 5/2 radians

We know that Area of sector = $\frac{1}{2}$ * r²$\theta$

=> Area = $\frac{1}{2}$ * 6² * 5/2

=>          = 45 cm²

Therefore, the area of the sector of the circle is  45 cm²