Question 5 of 10
What is the approximate area of the shaded sector in the circle shown below?
A. 25 img
4.3 in
155
B. 5.82 in2
с
C. 11.63 in 2
D. 50 in2
SUBMIT

Question 5 of 10 What is the approximate area of the shaded sector in the circle shown below A 25 img 43 in 155 B 582 in2 с C 1163 in 2 D 50 in2 SUBMIT class=

Respuesta :

Answer:

25 in ^2

Step-by-step explanation:

First find the area of the circle

A = pi r^2

A = 3.14 ( 4.3)^2

A =58.0586

The take the fraction of the circle that is shaded

A circle is 360 degrees

155/360

155 /360 * the  total area = area shaded

31/72 * 58.0586 = 24.99745278 in ^2

Rounding yields 25 in ^2

Answer:

25[tex]in^2[/tex]

Step-by-step explanation:

To find the area we need to use the expression [tex]\frac{x}{360}[/tex] · [tex]\pi r^2[/tex]

When you substitute and solve you should get 25[tex]in^2[/tex]

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