Area of a circle (radius = 10.5 cm)\nCalculate the area (in cm²) of a circle with radius 10.5 cm.

Introduction / Context:
The area of a circle is A = π r^2. With r = 10.5, using π = 22/7 provides an exact decimal outcome because 10.5 is 21/2 and simplifies with 7 conveniently.

Given Data / Assumptions:

• r = 10.5 cm
• Use π = 22/7 for exactness.

Concept / Approach:
Compute r^2 and multiply by π. Keep units in cm². Check with π ≈ 3.14 for a rough confirmation.

Step-by-Step Solution:

Verification / Alternative check:
Using π ≈ 3.14: 3.14 * 110.25 ≈ 346.185, close to 346.5; the 22/7 form gives the exact option value.

Why Other Options Are Wrong:
693 and 315 are multiples wrong by factors of 2 or 0.9; 157.5 is far too small for r = 10.5 cm.

Common Pitfalls:
Using diameter instead of radius or forgetting to square the radius commonly produces errors.

Final Answer:
346.5