Find the Dimensions of the Rectangle Enclosed in the Semicircle $y = \sqrt { 144 - x ^ { 2 } }$

question 67

Multiple Choice

Find the dimensions of the rectangle enclosed in the semicircle $y = \sqrt { 144 - x ^ { 2 } }$ with the largest possible area.

• A) 5 in. \(\times 7\) in.
• B) 6 in. \(\times 6\) in.
• C) \(12 \sqrt { 2 }\) in. \(\times 6 \sqrt { 2 }\) in.
• D) \(6 \sqrt { 2 }\) in. \(\times 6 \sqrt { 2 }\) in.

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Definitions:

Eyedrops

A liquid medication administered into the eye to treat various conditions or provide lubrication.

Cornea

The transparent front part of the eye that covers the iris, pupil, and anterior chamber, responsible for focusing most of the light entering the eye.

Eyedropper Position

The correct way to hold and use an eyedropper for administering medication directly into the eye.

Aspiration Risk

The potential danger of inhaling food, liquid, or foreign objects into the lungs, which can cause choking or respiratory complications.