Question

5. Find the length of an arc of a circle of radius 3.5 cms, if the angle
subtended at the centre is 45°.
If the
name lamothe intuirlas cultend angle​

Answer 1

Answer:

theta pi by 4 because theta is always taken in radians

Answer 2

Given:

Radius=3.5cm

The angle subtended at the center= 45°

To find:

The length of the arc

Solution:

The length of the arc is 2.75cm.

We can find the length by following the steps given below-

We know that the length of the arc depends on the angle subtended at the center.

The angle subtended at the center=45°

Since the arc is a part of the circumference of the circle, we have to calculate the length of that part of the circumference.

Radius, r =3.5 cm

Length of the arc= angle/360°× 2πr

=45°/360°×2π×3.5

=1/8×7π

=7/8×22/7

=22/8

=11/4

=2.75cm

Therefore, the length of the arc is 2.75cm.