A circle of area 49(pi) has a circumference of what?

Question

1.A trapezoid of area 150 square units has one base of length 18 and height 12. Find the length of the other base C?
2.The radius of a Circle O is 4, if radii OA and OB form 90o angle, AB = ?
3.What is the center of the circle with equation (x + 1)2 + (y + 3)2 = 9/4?
4.What is the equation of the line with slope 2/3 and passes through the midpoint of the segment joining points (-1, 6) and (-7, -4)?
5.Lines p and q are parallel. The slope of p is 5 and the slope of q is 10/v. What is v?
6.A parallelogram of area 78 square units has one side of length 12. Find the length of an altitude to that side.

Answer 1

a=pi*r^2
49pi=pi*r^2
r=7

c=2pi*r
circumference=14pi

2. AB=8 i think...but i don't really understand your question

3. (-1,-3)


4. midpoint of the segment is (-4,1)
y-y1=m(x-x1)
y-1=(2/3)(x+4)

5. parallel, therefore slopes are equal
5=10/v
v=2

Answer 2

0. Since area = pi * r^2, the circle must have a radius of 7. It's circumference is pi * 2 * r.

1. A(t) = 1/2 * (length-base-1 + length-base-2) * height

2. AB is the hypotenuse of a right triangle with side OA = 4 and side OB = 4.

3. (-1, -3)

4. ouch.
The segment goes 6 steps down (-1 - -7) and 10 steps across (6 - -4). So halfway is 3 down and 5 across or (-4, 1)

So 1 = (2/3)*(-4) + b
1 = -8/3 + b
b = 1 + 8/3 = 11/3

y = 2x/3 + 11/3

5. Parallel lines have the same slope, so 5 = 10/v

6. A(p) = base * altitude.

Answer 3

Pi isn't an particular quantity. it somewhat is 22 / 7 and repeats indefinitely so as which you in all probability experiencing rounding issues. try resolving Pi to declare the 4th decimal area then using that for the period of the calculator's memory perform. a minimum of you have got a gentle quantity base to artwork from

Answer 4

1. (18+x)*12/2 = 150 so x = 7
2. 4^2 + 4^2 = 32
3. -
4.mid point = (-4,1) so equation = y = 2/3x + 11/3
5.the slope of two parallel lines are equal so v = 2
6. 12*x = 78 x = 6.5

Answer 5

A circle of area 49(pi) has a circumference of 14 pi

Answer 6

pi times r^2 = 49pi

r^2 = 49

r = 7


so 2 times pi times r

14 times pi = circumference