Respuesta :
A percentage is given by dividing a given value by a total and multiplying the result by 100
The percentage of the dartboard occupied by the bullseye is approximately 1.963 %
Reason:
The given parameters are;
The area of the dartboard, A = 1,600 cm²
The location of the center of the bullseye = (0 cm, 0 cm)
The coordinates of a point on the circumference = (√3 cm, √7 cm)
Question: Possible question with regards to the given parameter; The percentage of the dartboard covered by the bullseye
Solution;
The radius of the bullseye, r = [tex]\sqrt{(\sqrt{3})^2 + (\sqrt{9})^2} = \sqrt{10}[/tex]
The area of the bullseye, [tex]A_b[/tex] = π· r² = π × [tex](\sqrt{10})^2[/tex] = 10·π
∴ The area of the bullseye, [tex]A_b[/tex] = 10·π cm²
The percentage area is given as follows;
[tex]Percentage \ area = \dfrac{A_b}{A} \times 100[/tex]
Therefore;
[tex]Percentage \ area \ occupies \ by \ bulleseye = \dfrac{10 \cdot \pi}{1,600} \times 100 \approx 1.963 \%[/tex]
The percentage of the dartboard occupied by the bullseye ≈ 1.963 %
Learn more about percentage area here:
https://brainly.com/question/11642822
