Find the area (in cm²) of the sector, where the radius of the circle is 24 cm and length of the arc is 7 cm.

Question

Accepted Answer

Given:
Radius (r) = 24 cm
Arc length (l) = 7 cm

Formula for arc length: l = r * θ, where θ is in radians.
So, θ = l / r = 7 / 24 radians.

Area of sector = (1/2) * r² * θ
= (1/2) * 24² * (7/24)
= (1/2) * 576 * (7/24)
= 288 * (7/24)
= 288 * 0.2916667
= 84 cm²

Rechecking calculations:
288 * (7/24) = 288 * 0.2916667 = 84

So the correct area is 84 cm².

Since option 2 is 84, it is the correct answer.

Answer

Answer

Answer