Evaluate the Integral $$\int _ { 0 } ^ { 1 / 2 } \frac { 4 d r } { \sqrt { 1 - r ^ { 2 } } }$$

question 109

Multiple Choice

Evaluate the integral.
$$\int _ { 0 } ^ { 1 / 2 } \frac { 4 d r } { \sqrt { 1 - r ^ { 2 } } }$$

• A) \(\frac { \pi } { 4 }\)
• B) \(\frac { 1 } { 5 }\)
• C) \(\frac { \pi } { 5 }\)
• D) \(\frac { 1 } { 4 }\)
• E) \(\frac { 2 \pi } { 3 }\)

---

Definitions:

Warning Defect

A failure in a product to adequately instruct or inform users of potential risks or hazards, rendering it dangerous.

Manufacturer

An entity or individual that produces goods or products from raw materials through the use of labor, machinery, and equipment.

Obvious Risks

Hazards or dangers that are clear and recognizable to a reasonable person without the need for explicit warning.

Strictly Liable

A legal principle where an individual or organization is held responsible for damages or injuries caused by their actions or products, regardless of fault or intent.