in a circle of diameter 40 cm, the lenght of cord is 20 cm. Find the length of minor arc
Answers
Answered by
3
Answer:
20/3 π cm
Step-by-step explanation:
Diameter of the circle =40 cm
∴ Radius (r) of the circle = 40/2 = 20cm
Let AB be a chord (length = 20 cm) of the circle.
In △OAB, OA = OB = Radius of circle = 20 cm
Also, AB = 20 cm
Thus, △OAB is an equilateral triangle.
∴θ = 60 ∘ = π /3 radian
We know that in a circle of radius r unit, if an arc of length I unit subtends an angle θ radian at the centre, then θ = 1/R
∴ π/3 = arc AB/20 ⟹ arc AB = 20/3 π cm
Hope it helps you
Please mark me as brainliest.
Similar questions