In the diagram O is the center of the circle. Reflex angl...
In the diagram O is the center of the circle. Reflex angle XOY = 210° and the length of the minor arc is 5.5m. Find, correct to the nearest meter, the length of the major arc.
8m
9m
10m
13m
Correct answer is A
Given, Length of minor arc = 5.5m
Angle subtended by minor arc = 360° - 210° = 150°
∴
\frac{55r}{21} = 5.5
r = \frac{5.5 \times 21}{55}
r = 2.1m
Length of major arc = \frac{210}{360} \times 2 \times \frac{22}{7} \times 2.1
= 7.7m \approxeq 8m (to the nearest metre)
If t varies inversely as the cube of s, and t = 24, when s = 3, find t when s = 2 ...
Find the length of a chord 3cm from the centre of a circle of radius 5cm ...
A student blows a balloon and its volume increases at a rate of \pi(20 - t2)cm3S-1 after t secon...
If a = \frac{2x}{1 - x} and b = \frac{1 + x}{1 - x}, then a2 - b2 in the simplest form is...
Given that \frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}} = x + y\sqrt{15}, find the value of (...