The angular difference between the leading radial and the required radial should be increased as the :?

Q. The angular difference between the leading radial and the required radial should be increased as the
a- Intercepting angle increase and the A/C rate of turn decrease
b- Intercepting angle decrease and the A/C rate of turn decrease
c- Intercepting angle decrease and the A/C rate of turn increase
please explain with the answer .

A. B. Because it will now take a higher ( sharper ) angle to intercept the required radial.

Original Question

What is the length of an arc intercepted by a central angle 95degrees in a circle whose radius is 12m?

Q. What is the length of an arc intercepted by a central angle 95degrees in a circle whose radius is 12m?


Please help me, this is for my Math Exit examination review..it's been a while so I have forgotten about some of these topics :)

A. Think of the length of the arc as a fraction of a circle's circumference. A circle's circumference covers an angle of 360 degrees, so the arc will cover (angle / 360degrees) of that circumference. Circumference is defined as pi times the diameter, or pi times 2x the radius.

arclength = (95 / 360) * pi * (12*2) = 19pi / 3 meters.

Original Question

find the length of the arc intercepted by a central angle?

Q. A circle has a radius of 8 m. Find the length s of the arc intercepted by a central angle of 157 degrees.
Do not round any intermediate computations, and round your answer to the nearest tenth.

A. 2*8*pi*157/360 = 21.921 so 21.9

to check to see if it's reasonable, radius=8 so diameter = 16 so circumference = 3*16+ = 48+

half of that is 24+ if the central angle was 180.
157 is less than 180 so the arc should be less than 24.
22 seems about right.

Original Question

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