Question

70
(1) In a circle, if an arc of 5.5 cm. length subtends an angle of measure at the centre, then find the
16
radius of the circle. short answer type question




​

Answer 1

Given:

In a circle, if an arc of 5.5 cm length subtends an angle of measure π/16 at the centre, then find the radius of the circle​?

To find:

The radius of the circle

Solution:

Let "r" represents the radius of the circle.

The length of the arc of the circle, s = 5.5 cm

The central angle of the circle in radians, θ = $\frac{\pi}{16}$

We know,

$\boxed{\bold{s = r\theta}}$

where s = arc length, r = radius and θ = central angle in radians

On substituting the given values in the formula above, we get

$5.5 = r \times \frac{\pi}{16}$

$\implies r = 5.5 \times 16 \times \frac{7}{22}$

$\implies r = \frac{616}{22}$

$\implies \bold{r = 28 \:cm}$

Thus, the radius of the circle is → 28 cm.

--------------------------------------------------------------------------------------------------

Also View:

The arc length of a circle having a radius 15 cm and subtending an angle 105 degrees at the centre of circles is?

​brainly.in/question/47236779

If an arc has a measure of 97 degrees, and the circle has radius=10, what is the arc length?

brainly.in/question/15869333