Question

A)
Wyatt wants to walk at the park, but doesn't know how long the path is. He knows it is a circular pathwith a sidewalk through the middle. The sidewalk through the middle is half a mile long. How far is it towalk all the way around the circular path? Round your answer to one decimal place.
(1 point)
.8 mil
3.1 mi.
18.8 mi
1.6 mi.
A)
If the area of a circle is 674 m
. What is the length of the diameter to the nearest meter?
(1 point)
2
214
29
15
43

A)
If a circle has a 10 foot diameter, then what is the measure of the central angle that cuts the arc thatmeasures 4 feet?
(1 point)
22.9 degrees
72 degrees
45.8 degrees
226.2 degrees
A)
If a circle has a central angle of
and a radius of 27 mm, how long is the arc formed by that angle?
(1 point)
2π
3
mm
67.5
π
2
mm
5
π
18
18
mm
π
15
mm

A)
If circle O has a circumference of 37 meters and circle P has a circumference of 148 meters, thenwhat is the scale factor from O to P?
(1 point

A) What is the area of the sector of a circle with and a radius of 7 inches? Express your
answer in terms of pi (1 point)
θ = 216°
49π in2
19.6π in2
4.2π in2
29.4π in2
in
A) Sarah's mom bought her a cookie cake for her birthday. It had a diameter of 16 inches. Sarah's little
brother ate part of the cookie cake. The missing section forms an angle of 270 degrees. What is the
area of the cookie cake that was eaten? Round your answer to the nearest tenth. (1 point)

Answer 1

1) Diameter (straight sidewalk) = 0.5 mi, so circumference = πd = 0.5π ≈ 1.5708 → 1.6 mi.

2) A = 674 m² → r = sqrt(674/π) ≈ 14.65 m → diameter ≈ 29.3 m → 29 m.

3) d = 10 ft, arc = 4 ft → angle = (arc / circumference)·360 = (4/(10π))·360 ≈ 45.8°.

4) With radius 27 mm and central angle 225°, arc = r·θ(rad) = 27·(225π/180) = 33.75π = 67.5π/2 mm.

5) Scale factor from O to P = 148 / 37 = 4.

6) Sector area: (216/360)·π·7² = (3/5)·49π = 29.4π in².

7) Cookie cake: r = 8 in, eaten area = (270/360)·π·8² = (3/4)·64π = 48π ≈ 150.8 in².