* You have a shape made of a half-circle stuck to a rectangle.
* The total area of this shape is 3.14 square inches.
* You need to figure out what size everything is.
Steps:
* Areas:
* A half-circle's area is half the normal circle's area: (1/2) * pi * radius * radius
* A rectangle's area is length * width
* Let's Use 'r' for Radius:
* The circle's diameter (line across the middle) is the same as the rectangle's width. Let's call this width 'r'.
* The rectangle's height is 5 times the width (5 * r)
* Equation Time:
* Total Area = (Half-circle Area) + (Rectangle Area)
* 3.14 = (1/2) * 3.14 * r * r + (r * 5r)
* Solve for 'r':
* The equation gets a bit tricky, but the answer is r = 1 inch
* Find the Areas:
* Rectangle Area = width * height = 1 * 5 = 5 square inches
* Half-circle Area = (1/2) * 3.14 * 1 * 1 = about 1.57 square inches
* Final Answer:
* Total Area = 5 + 1.57 = 6.57 square inches (approximately)
