Step 1: Formula for Area of a Circle.
The area of a circle is calculated by the formula: \[ \text{Area} = \pi \times \text{radius}^2 \] For a circle with a radius of 7 cm, the area will be: \[ \text{Area} = \pi \times 7^2 = 7 \times 7\pi \] Step 2: Verifying the Options.
- Option (1): \( 7\pi \) is incorrect, as the area formula involves squaring the radius.
- Option (2): \( 7 \times 7\pi \) is correct.
- Option (3): \( 7 \times 7 \times 7\pi \) is incorrect.
- Option (4): \( 7 \times 7 \times 7 \times 7\pi \) is incorrect.
Conclusion:
Therefore, the correct answer is (2) \( 7 \times 7\pi \).
Find the number of triangles in the given figure.

$PQ$ is a chord of length $4\ \text{cm}$ of a circle of radius $2.5\ \text{cm}$. The tangents at $P$ and $Q$ intersect at a point $T$. Find the length of $TP$.