A door with width 4.20 has an arc as shown in the diagram. Find: a the radius of the arc, to the nearest cm b the length of the

Question

4 years ago

11

arc, to the nearest cm. 225° is the central angle

1 answer:

White raven [17] · Answer 1 · 2022-01-14T21:29:18+03:00

Answer:

<h2>The arc length is 4 cm to the nearest cm</h2>

Step-by-step explanation:

The diagram is not given in this question, but we can proceed anyways.

from the problem statement we can observe that the radius of the arc is same as the width of the door

a. the radius is 4.2 cm

b. the length of the arc given that the central angle is 25° can be gotten using the formula stated bellow

arc length = 2 π r *(∅/360)

substituting we have

arc length = 2*3.142*(225/360)

arc length= 6.284*0.625

arc length=3.92 cm

<h2>Approximately the arc length is 4 cm</h2>