Question

A T.V. tower has a height of 150 m. The area of the region covered by T.V. broadcast is (radius of earth = $6.4\times {10}^{6}m$)

• A. $9.6\pi \times {10}^8{m}^2$
• B. $19.2\pi \times {10}^8{m}^2$
• C. $19.2\pi \times {10}^7{m}^2$
• D. $1.92\pi \times {10}^{3}k{m}^2$

Answer 1

The correct option is B

$19.2\pi \times {10}^8{m}^2$

Area of the region covered for broadcasting

$=\pi d^2=\pi \left(2hR\right)$

$=\pi \times 2\times 150\times 6.4\times {10}^6$

$=\pi \times 300\times 6.4\times {10}^6$

$=19.2\times \pi \times {10}^8{m}^2$