Question

the area of a circle is 25πsq.cm. find the length of its arc subtending an angle of 144° at the centre. also find the area of the corresponding sectors​

Answer 1

given:- Area of circle = 55 pie sq.cm.

angle = 144°

144 \times \frac{\pi}{180} = \frac{4\pi}{5}

Step-by-step explanation:

we \: know \: that \: \\ \\ area \: of \: circle \: = \pi {r}^{2} \\ \\ 25\pi = \pi {r}^{2} \\ \\ {r }^{2} = 25 \\ r = 5cm \\ \\ lenth \: of \: arc \: = r \: × angle \\ 5 \times \frac{4\pi}{5} = 4\pi \: cm \\ \\ \\ area \: o \: sctor \: = \frac{1}{2} {r}^{2} agle \\ \frac{1}{2} ×5×5×\frac{4\pi}{5} \\ \\ = 10\pi \: \: sq \: cm

Answer 2

Step-by-step explanation:

correct answer of sum of you asked