Question

if the area of the sector and the length of its corresponding arc are numerically equalthen radius of sector is​

Answer 1

Then the formula will be changed as. Radius = Area of the sector

-------------------------------. × 2

Length of its corresponding arc

Radius = 2

Answer 2

Answer:

2

Step-by-step explanation:

The length of the arc is rθ, where r is the radius and θ is the angle (in radians) subtended at the centre of the circle.  Check: when θ=2π, the circumference of a circle is 2πr.

The area of the sector is r²θ/2.  Check: when θ=2π, the area of a circle of πr².

So...

area of sector = length of arc

=> r²θ/2 = rθ

=> r/2 = 1

=> r = 2