find the area of sector, whose radius is 7cm. with the given angle 1, 30⁰
Answers
the area sector is 55.6. cm2
Step-by-step explanation:
Answer :
Area of sector = \frac{\theta}{360^{\circ}}\times\pi{r}^{2}
360
∘
θ
×πr
2
Given, radius = 7 cm
\implies 25.66\:cm^{2}⟹25.66cm
2
ii. 30°
Area = \frac{\theta}{360^{\circ}}\times\pi{r}^{2}
360
∘
θ
×πr
2
×
7
22
×7
2
\implies 12.83\:cm^{2}⟹12.83cm
2
Area = \frac{\theta}{360^{\circ}}\times\pi{r}^{2}
360
∘
Area = \frac{\theta}{360^{\circ}}\times\pi{r}^{2}
360
∘
θ
×πr
2
\implies\frac{90^{\circ}}{360^{\circ}}\times\frac{22}{7}\times{7}^{2}⟹
360
∘
90
∘
×
7
22
×7
2
\implies 38.5\:cm^{2}⟹38.5cm
2
v. 120°
Area = \frac{\theta}{360^{\circ}}\times\pi{r}^{2}
360
∘
θ
×πr
2
\implies\frac{120^{\circ}}{360^{\circ}}\times\frac{22}{7}\times{7}^{2}⟹
360
∘
120
∘
×
7
22
×7
2
\implies 51.33\:cm^{2}⟹51.33cm
2