Given an Ellipse with Major Axis of Length 2a and Minor

question 72

Multiple Choice

Given an ellipse with major axis of length 2a and minor axis of length 2b, the area is given by A =ab.
The perimeter is approximated by $$P \approx \pi \sqrt { 2 \left( a ^ { 2 } + b ^ { 2 } \right) }$$ a. Determine the area of the ellipse. b. Approximate the perimeter.
- $$\frac { x ^ { 2 } } { 4 } + \frac { ( y - 6 ) ^ { 2 } } { 12 } = 1$$

• A) a. \(A = 48 \pi\) square units
• b. \(P \approx 4 \pi \sqrt { 2 }\) units
• B) a. \(A = 48 \pi\) square units
• b. \(P \approx 12 \pi\) units
• C) a. \(A = 4 \pi \sqrt { 3 }\) square units
• b. \(P \approx 4 \pi \sqrt { 2 }\) units
• D) a. \(A = 4 \pi \sqrt { 3 }\) square units
• b. \(P \approx 12 \pi\) units

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Definitions:

Perceptual Barrier

A cognitive obstacle that prevents individuals from accurately understanding or interpreting information from others.

Overgeneralizing

The cognitive bias of applying a general rule too broadly, based on limited evidence or a single example.

Class Late

The situation of arriving or starting a class beyond the scheduled time.

Selective Perception

The process by which individuals focus on certain stimuli while ignoring others, influenced by their background, experiences, and attitudes.