Ramsay cuts out a piece from a circular cardboard for a school project. The radius of the cardboard is 10 inches and the measure
of the central angle is 54 degrees, as shown.
What is the length of the curved boundary of the piece of the cardboard Ramsay cuts out?
Leave in terms of π.
What is the length of the curved boundary of the piece of the cardboard Ramsay cuts out?
Leave in terms of π.
1 answer:
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Answer:
The ramp should be 32.9 feet longer.
Step-by-step explanation:
When the ramp is at to the ground, its length can be determined by applying the appropriate trigonometric function. Let the length be represented by l, so that;
Sin θ =
Sin =
l =
=
= 33.0048
l = 33.0 feet
When the angle is reduced to , the length of the ramp would be;
Sin θ =
Sin =
l =
=
= 65.9152
l = 65.9 feet
Change in length of ramp = 65.9 - 33.0
= 32.9
The ramp should be 32.9 feet longer.