The running tracks of two different playgrounds are shown below. Figure A is a semicircle with a diameter of 100 m. Figure B is composed of two semicircles and a square with sides of 100 m. How much farther would an athlete run if they ran around the track in Figure B vs. the track in Figure A?

10157.08 m

Step-by-step explanation:

Find the area of the square, and get 10000, from multiplying 100 by 100. Then, find the circumference/area of the semi-circle as a whole circle. 314.16m. Divide it by 2 and get 157.08 m. Add everything up and get 10157.08 m. Remember, that we aren't calculating the total of both semi-circles because we subtract Figure A from Figure B.

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d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi