Math Problem Statement

The shape below contains a right triangle and a semi-circle. Round your responses to two decimal places. What is the perimeter of the shape above? What is the area of the shape above?

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Right Triangle
Semi-circle
Perimeter
Area

Formulas

Perimeter of semi-circle = π * r (for half the circumference of the full circle)
Area of triangle = (1/2) * base * height
Area of semi-circle = (1/2) * π * r^2
Hypotenuse of right triangle = √(base^2 + height^2)

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 8-10