An arc on a circle that is 15 cm long subtends a 24° angle at the centre. What is the circumference of the circle?
Answer & explanation
Correct answer: option 4
We know that ,
Length of arc = 2πr × \(\frac{θ}{360º}\)
According to question ,
15 = 2πr × \(\frac{24º }{360º}\)
15 = 2πr × \(\frac{24º }{360º}\)
2πr = 225 cm
So , Circumference of circle = 225 cm