geometry questions?

Question

I need help with the following:
1. the measure of each inerior angle of a regular hexagon is A. 15B.30C.60D.120
2. find the length of a 40 degree arc ina circle with a radius of 4. A8pie B 8pie over 9 C16pie over9 D9pie over 8
3.an expression for the circumference of a circle with diameter "d" is A.2pied Bpied C.pie r D. pie dsquard
4.If a circle has a radius of 8inches, what is the circumference rounded tot he nearest whole number? use pie=3.14 A.50in. B. 201in. C. 25in. D. 100in.
5.Allison ran 7 times around a circular track that has a diameter of 44 meters. Which is the best approximation of the distance she ran? A. 924m B. 1520m C462 D. 1386m
6. An auomoble has 20inch diameter wheels. If the wheels revolved 3 times after the brakes were applied, the stopping distane was approximately? A. 7.85ft B. 26.2ft C. 15.7 D. 157ft

Answer 1

Alright...let's see now:

1. Sorry, I can't do this one right now. I don't have a protractor handy. But if you do, just measure one of the interior angles of a regular hexagon and that'll be the answer.
2. Don't get this one...-.-u
3. The answer is B. Pie*d
4. The answer is actually 50.24in, but rounded it would be A. 50in.
5. The actual answer is 967.12m but I suppose the best approximation would be A. 924m.
6. The answer is 188.4in. or C. 15.7ft.

Hope I helped.

Answer 2

1) the measure of one interior angle of a regular n-gon is
180(n - 2)/n

so, a hexagon has 6 sides.
180(6 - 2)/6
= 180(4)/6
= 30(4)
= 120

2)
40 degrees = (40pi)/180 radians
= (2pi)/9
s = r(theta)
s = (4)(2pi)/9 = 8 pi / 9

3)
circumference is (diameter)(pi)

4)
diameter = 2 * radius = 2(8) = 16
Circumference = (diameter)(pi)
= 16 pi
= 16 (3.14) = 50.24 = 50

5)
Circumference (one trip around)
= (44)(pi)
7 trips around = (7)(44)(pi) = 308 pi
= 967, so I would pick A.

6)
One trip around = 20 pi
3 trips = 60 pi
(I don't see the answer listed. Did you type the problem right?)

Answer 3

180(6-2)/6= 30*4 = 120

40 degrees = (pi/180)*40 radians = theta
Arc = r*theta = 4*40*pi/180 = 160pi/180 = 8pi/9

C = pi*d

C= 2*p*r = 6.28*8 = 50 inches

Distance = 44 * pi *7 = 967.61m so 924m is closest answer.

C= 20pi = 62.83 inches
3 revloutions = 3*62.83 = 188.5 inches
= 188.5/12 = 15.7 feet