Question

The length of arc of a circle with diameter 28cm and angle subtented at the center pie/2 radians is

Answer 1

22 cm

Step-by-step explanation:

Given:

Diameter (d) of circle = 28 cm

Subtend Angle (∅) = π/2

To find:

The length of Arc = x (say)

Solution:

As d = 28 cm

So, r = 28/2 = 14 cm

As the ∅ is given in radian so we will Use..

S = r∅

Here, S = length of Arc

r = Radius of circle

∅ = Subtend Angle at the centre

Now, Putting the values,

$x = 14 \times \frac{\pi}{2} \\ x = \cancel{14}\times \frac{22}{7} \times \frac{1}{\cancel{2}} \\ \\ x = \cancel{7} \times \frac{22}{\cancel{7}} \\ \\ x = 22 \: \: \: \textsf{cm}$

Therefore, The required length of Arc is 22 cm.

Extra Information:

Circle: Circle is a 2D shape, a circle is the set of points in a curve plane that are equidistant from a given point which is known as center. Distance from center the of circle to any point on it is called the radius. Twice the radius is known as the diameter.

[See in the Attachment]

Formula Related to Circle

Area: π× (radius)²

Circumference: 2π x radius

Diameter: 2 x radius