Acircle has a circumference whose length is 25 find the length of arc whose central angle 90

Question:

A circle has a circumference whose length is 25pi find the length of arc whose central angle 90°

The length of arc is 19.625 units

Solution:

Given that,

central angle = 90 degree

Circumference =

We know that,

Therefore,

The formula for arc length when angle is in degrees is:

Substituting the given values,

Thus length of arc is 19.625 units

squares, rhombus, rectangles

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm