99 POINTS!!!: if i have a circle with a radius of 6 in and it is cut into 8 equal slices (like a pie) and the coordinates are (8, 5) then what is the central angle, what is the measure of the arc that 2 pieces together would intercept, and the equation that represents and circumference?PLEASE HURRY!!!
Accepted Solution
A:
part 1) coordinates of the center (8,5) radius=6 in is cut into 8 equal slices-----> 360°/8-----> 45° each slice a) equation of a circumference (x-h)²+(y-k)²=r²--------> (x-8)²+(y-5)²=6²
b) circumference=2*pi*r-----> 2*pi*6---> 37.68 in if 360° (full circle) has a length of---------> 37.68 in 90° (2 pieces together)---------> x x=90*37.68/360-----> x=9.42 in
the measure of the arc that 2 pieces together would intercept is 9.42 in