Dartboard consists of a circle inscribed in a square. the area of the circle is square inches. the area of the square is 64 square inches.
izzy randomly throws a dart at the square, and it lands inside the square. to the nearest percent, what is the probability that the dart lands inside the square but not on the circular dartboard? use 3.14 for π.

The probability  that the dart lands inside the square but not on the circular dartboard is 0.215

Step-by-step explanation:

* Lets explain how to solve the problem

- The dartboard consists of a circle inscribed in a square

∵ The circle is inscribed in the square

∴ The four sides of the square are tangents to the circle

∴ The diameter of the circle = the side of the square because the

  sides of the squares touch the circle at the end points of its

  diameter

∵ The area of the square = 64 inches²

∵ The area of the square = (side)²

∴ 64 = (side)² ⇒ take √ for both sides

∴ side = √64 = 8 inches

∴ The diameter of the circle = 8 inches

∵ The radius = diameter ÷ 2

∴ The radius = 8 ÷ 2 = 4 inches

∵ The area of the circle = πr²

∵ π = 3.14

∴ The area of the circle = 3.14(4)² = 50.24 inches

- Lets calculate the area of the part inside the square not in the circle

∵ The area of the square = 64 inches²

∵ The area of the circle = 50.24 inches²

∴ The area in the square not in the circle = 64 - 50.24 = 13.76 inches²

- The probability = the event occurs/total events

∵ P(inside the square not the circle) = area in the square not in the

  circle ÷ area of the square

∴ P(inside the square not the circle) = 13.76/64 = 0.215

* The probability  that the dart lands inside the square but not on the

  circular dartboard is 0.215

answer: 180

step-by-step explanation:

12-2=10

20-2=18

10x18=180

37

step-by-step explanation: