Question

type the correct answer in each box. use numerals instead of words. consider the given circle with the shaded sector xy and central angle, 225°. the circumference of the circle is 30 units. use the given information to complete the statements. round any non - integer answers to the hundredths place. the length of major arc xy is (square) units. the radius of the circle is (square) units. the area of the shaded sector is (square) square units.

Explanation:

Step1: Calculate major arc length

Major arc length = $\frac{225}{360} \times 30$ = 18.75

Step2: Find circle radius

Circumference $C=2\pi r$, so $r=\frac{30}{2\pi} \approx 4.78$

Step3: Calculate sector area

First find circle area: $A=\pi r^2 \approx \pi (4.78)^2 \approx 70.69$
Sector area = $\frac{225}{360} \times 70.69 \approx 35.34$

Answer:

18.75, 4.78, 35.34