In a circle of diameter 40cm,length of chord is 20 cm. Find the length of minor arc of the chord.
Can u please simplify am not able to get the answer
The radius is 20cm and the chord is 20 cm.
Draw the radii to each end of the chord, you will see that you have an equilateral triangle, so the chord subtends a central angle of 60°, which is 1/6 of the circumference.
That should give you enough of a clue to proceed.
If you haven't gotten as far as the figure on this page, you're not trying. Label each side of the triangle as r and Reiny's tip should become clear.
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To find the length of the minor arc of a chord in a circle, you need to know the angle of the arc subtended by the chord at the center of the circle.
In this case, since the chord is 20 cm in length, it divides the circle into two equal parts. Thus, it subtends an angle of 180 degrees at the center of the circle.
You can use the formula for finding the length of an arc in a circle:
Arc Length = (Angle/360) x 2π r
where r is the radius of the circle.
Since the diameter is given as 40 cm, the radius is half that, which is 20 cm.
Plugging in the values into the formula:
Arc Length = (180/360) x 2π x 20
Arc Length = (1/2) x 2π x 20
Arc Length = π x 20
Arc Length ≈ 62.83 cm
Therefore, the length of the minor arc of the chord is approximately 62.83 cm.