Home » Classroom » WAEC Mathematics 2015 Question

In a circle radius rcm a chord 16 sqrt 3 cm lon... - WAEC Mathematics 2015 Question

In a circle radius rcm, a chord 16\(\sqrt{3}cm\) long is 10cmfrom the centre of the circle. Find, correct to the nearest cm, the value of r
A
22cm
B
17cm
C
16cm
D
15cm
correct option: b

In the diagram

|AM| = |MB| - (\frac{|AB|}{2})

= (\frac{16\sqrt{3}}{2})cm

= 8(\sqrt{3})cm

in (\Delta) AMO, r2 = |AM|Z + |MO|2

r2 = (8(\sqrt{3}))2

  • 102

= 64 x 3 + 100

= 192 + 100

= 292

r = (\sqrt{292})

17.088cm

17cm

Please share this, thanks:

#WAEC #WAEC

Add your answer

Notice: Please post responsibly.

No responses