a 4 cm long chord subtends a central angle of 60° . the radial segment of this circle is

10 answers

If you want the radius r of the circle, just draw a diagram and note that

(4/2) = r sin(60°/2)
2sin60÷2
Very bad
The Answer is 4
100% sure answer:"4"
make a circle diagram and them split the triangle into two right angle triangles . Now apply sinθ=per/hyp you will observe after calculation your answer is 1cm. Also note that θ must be put half i.e 30 and lengh of perp will also be half i.e. 2cm
4cm
Yes, the correct answer is 4cm.

Using the same method as before:

We know that the chord length is 4cm and the central angle is 60 degrees.

Draw the chord and a radius from the center to one endpoint of the chord, which divides the central angle in half and creates a right triangle.

The hypotenuse of the right triangle is the radius of the circle (which we want to find), and the opposite side is half the length of the chord (or 2cm). The angle opposite the 2cm side is 30 degrees.

So, using the sine function: sin(30) = 2/r

Solving for r: r = 2/sin(30)

r = 4

Therefore, the radius of the circle is 4cm.
4cm
gort
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