Evaluate the definite integral of a semi circle

The video tutorial explains how to rewrite a given equation and analyze its graph, focusing on the positive form above the X-axis. It then guides viewers through calculating the area of a quarter circle using the formula for the area of a circle, demonstrating the steps to find the result of nine π over four.

What is the rewritten form of the equation Y = 9 - X^2?

• Y = 9 - X^2

• Y = X^2 + 9

• Y = 9 + X^2

• Y = X^2 - 9

In the context of the circle equation, what does the positive form refer to?

• The entire circle

• The part of the circle below the X-axis

• The part of the circle above the X-axis

• The left half of the circle

What is the range of X values considered in the positive form of the circle equation?

• From 0 to 3

• From 0 to 9

• From -3 to 3

• From -3 to 0

How do you calculate the area of a quarter of a circle?

• Area = π R

• Area = 1/2 π R^2

• Area = π R^2

• Area = 1/4 π R^2

What is the area of a quarter circle with a radius of 3?

• 9π/4

• 3π

• π/2

• 9π