In the diagram MN is a chord of a circle KMN centre O and ra...
In the diagram MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140o, find, correct to the nearest cm, the length of the chord MN.
A.
19cm
B.
18cm
C.
17cm
D.
12cm
Correct answer is A
From the diagram
sin 70o = \(\frac{x}{10}\)
x = 10sin 70o
= 9.3969
Hence, length of chord MN = 2x
= 2 x 9.3969
= 18.7938
= 19cm (nearest cm)
Similar Questions
In the diagram O is the center of the circle, if ∠QRS = 62o, find the value of ∠SQR. ...
Simplify 27\(^{-\frac{1}{3}}\) \(\times\) 64\(^{-\frac{1}{3}}\) \(\times\) 4\(^{\frac{1}{3}}\)...
If x\(^2\) + 4 = 0, then x ?...
In the diagram above, |XR| = |RY| = |YZ| and ∠XRY = ∠YRZ = 62o, Calculate ∠XYZ ...
If x + y = 2y - x + 1 = 5, find the value of x...
Correct 241.34(3 x 10\(^{-3}\))\(^2\) to 4 significant figures...
Which angle is equal to ∠VWZ? ...
Find the \(n^{th}\) term of the sequence 2 x 3, 4 x 6, 8 x 9, 16 x 12......