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

---

Definitions:

Childhood Disorders

A range of psychiatric, behavioral, and developmental disorders that occur in childhood, including ADHD, autism, and learning disabilities.

Psychological Disorders

Conditions manifesting through psychological symptoms, affecting an individual's emotional state, cognition, and behavior.

Behaviourally Inhibited

A temperament characterized by a tendency to react with fear or withdrawal in new situations or when encountering unfamiliar people or environments.

Anxious Temperament

A predisposition to respond to situations with fear or anxiety, often resulting from genetic or environmental factors.