Question

Given that the minor arc subtends an angle $\theta$ at the centre of the circle, the arc length of the major sector can be written as

• A. $\frac{180°-\theta }{360°}\times \mathrm{\pi d}$
• B. $\frac{360°-\theta }{360°}\times \mathrm{\pi r}$
• C. $\frac{\theta }{360°}\times \mathrm{\pi d}$
• D. $\frac{360°-\theta }{360°}\times \mathrm{\pi d}$

Answer 1

The correct option is D $\frac{360°-\theta }{360°}\times \mathrm{\pi d}$

Given that the minor arc subtends an angle $\theta$ at the centre of the circle, the arc length of the major sector can be written as $\frac{{360}^{\circ }-\theta }{{360}^{\circ }}\times \pi d$ because the angle subtended by the major sector at the centre is nothing but ${360}^{\circ }-\theta$