To make a vertical circular conical tent, 77 square meters of canvas is used. If the slant height of the tent is 7 meters, then what is the area of the base of the tent?

Q.To make a vertical circular conical tent, 77 square meters of canvas is used. If the slant height of the tent is 7 meters, then what is the area of the base of the tent?

Let the radius of the base of the tent be \(r\) meters. Given that the curved surface area of the conical tent is: \[ \pi r l = 77 \] Substituting \(l = 7\): \[ \frac{22}{7} \times r \times 7 = 77 \Rightarrow r = \frac{77}{22} = \frac{7}{2} \] Therefore, the area of the base is: \[ \pi \left(\frac{7}{2}\right)^2 = \frac{22}{7} \times \frac{49}{4} = \frac{77}{2} = 38.5 \text{ square meters} \] So, the area of the base of the tent is 38.5 square meters.