Multiple choice

Find the length of the arc of a circle with radius $0.7$ m and area of the sector is $0.49m^2$.

  1. $1.4$ m
  2. $2.4$m
  3. $0.7$m

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Area of sector = (1/2) * r * arc_length. 0.49 = (1/2) * 0.7 * arc_length. 0.49 = 0.35 * arc_length. arc_length = 0.49 / 0.35 = 49 / 35 = 1.4 m.

AI explanation

The area of a sector can be expressed as (1/2) * r * l, where r is the radius and l is the arc length. Plugging in the given values results in 0.49 = (1/2) * 0.7 * l. Solving this equation yields 0.49 = 0.35 * l, so l = 1.4 m.

Keep practicing — related questions