Circle a has a diameter of 9 inches, a circumference of 28.26 inches, and an area of 63.585 square inches. the diameter of circle b is 5 inches, the circumference is 15.70 inches, and the area is 19.625 square inches.. part a: using the formula for circumference, solve for the value of pi for each circle. (4 points) part b: use the formula for area and solve for the value of pi for each circle. (4 points) part c: what observation can you make about the value of pi for circles a and b? (2 points)

circle: c = πd and a = πr^2 where r = d/2

part a: using the formula for circumference, solve for the value of pi for each circle. (4 points)

circle a:

c = πd

π = c/d = 28.26/9 = 3.14

circle b:

c = πd

π = c/d = 15.70 /5 = 3.14

part b: use the formula for area and solve for the value of pi for each circle. (4 points)

circle a:

a = πr^2 where r = d/2 = 9/2 = 4.5

π = a/r^2 = 63.585 / (4.5)^2 = 63.585 / 20.25 = 3.14

circle b:

a = πr^2 where r = d/2 = 5/2 = 2.5

π = a/r^2 = 19.625 / (2.5)^2 = 19.625 / 6.25 = 3.14

part c: what observation can you make about the value of pi for circles a and b? (2 points)

it doesn't matter how big or small the circle is, the value of pi always remains the same.

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.