Question

The floor of a new planetarium is a circle with a 13-yard diameter.A stage will occupy a quarter circle section of the floor.The material for the stage will cost $31.47 per square yard. If no material is wasted when making the stage,how could you find how much the stage will cost? Use 3.14

Answer 1

Answer:

$1,043.74

Step-by-step explanation:

Area of the circular floor = πr²

Since the stage only occupies a quarter circle section of the floor, then;

Area of the stage = πr²/4

Given

diameter of the floor = 13yd

radius = 13/2 = 6.5yd

Find the area of the stage;

Area of the stage = π(6.5)²/4

Area of the stage = 3.14(42.25)/4

Area of the stage = 33.16625yd²

If the material for the stage will cost $31.47 per square yard, this means;

1yd² = $31.47

33.16625yd² = x

Cross multiply

x = 33.16625*31.47

x = 1,043.74

Hence the stage will cost $1,043.74