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:

Erikson

Erikson refers to Erik Erikson, a developmental psychologist known for his theory on the psychosocial development of humans, highlighting eight stages from infancy to adulthood.

Piaget

A Swiss psychologist known for his pioneering work in child development, especially his theory of cognitive development that describes how children construct a mental model of the world.

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A developmental stage between childhood and adulthood characterized by physical, psychological, and social changes.

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