Calculate a central angle in degree intercepting an arc of length 7 pi/2 cm in a circle with radius 77cm.​

Sagot :

The arc length of the circle exists 846.65922 cm.

How to estimate the central angle in degree?

A unit circle by definition contains a radius of 1 unit.

We have to estimate the length of the arc subtended by an angle of [tex]7\pi/2[/tex] radians.

arc length = radius [tex]*[/tex] angle

s = r[tex]$ * \theta[/tex]

Where s be the arc length

r be the radius of the circle

[tex]\theta[/tex] be the angle measured in radians

arc length = 77cm[tex]$*7\pi/2[/tex]

arc length = 77 [tex]*[/tex] 7(3.14) / 2

arc length = 846.65922 cm

Therefore, the arc length of the circle exists 846.65922 cm.

To learn more about arc length refer to:

https://brainly.com/question/2005046

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