Respuesta :
Answer:
Step-by-step explanation:
the answere is 1/5
juat have to have trust
The ratio of the sectorial area to the area of the entire circle is 1:10.
Data;
- radius = 4
- angle = 72 degrees
Area of a Sector
To calculate the area of a sector, we can use a formula
[tex]A = \frac{\theta}{360} * 2\pi r[/tex]
Let's substitute the values and solve.
[tex]A = \frac{72}{360} * 2 * 3.14 * 4\\A = 5.024 units[/tex]
Area of a Circle
The area of a circle is given as
[tex]A = \pi r^2\\[/tex]
Let's substitute the values and solve.
[tex]A = \pi r^2 \\A = 3.14 * 4^2\\A = 50.24 units^2[/tex]
The area of the circle is 50.24 units^2
The ratio of the sectorial area to the entire circle will be
[tex]a:A = \frac{5.024}{50.24} = \frac{1}{10}[/tex]
The ratio of the sectorial area to the area of the entire circle is 1:10.
Learn more on area of a sector and area of a circle here;
https://brainly.com/question/10585749
