Figure B is the link below! In Figure B, the s on the circle represents the arc

Question

Figure B is the link below!

In Figure B, the s on the circle represents the arc length. If s represents the entire distance around the circle, it is called the circumference. The formula for circumference is C = 2* pi * r, where r is the radius of the circle. The 45o represented in the figure represents the central angle, which is the angle formed from the initial side to the terminal side of the sector (the sector is defined by the blue segments (which are radii of the circle). Thus the angle created between the initial side (the blue side above the r = 25 in.) and the terminal side (the other blue line where the red arrow is pointing), is 45 degrees. Using this information, along with the formula for circumference, find s in Figure B, which is the arc length of the circle with a central angle of 45 degrees and a radius of 25 inches. (show work)

The area for an entire circle is A = pi * r2. Find the area of the sector in Figure B.(show work)

https://online.csc.edu/access/meleteDocs/content/private/meleteDocs/460c3117-c950-4c26-bd70-73494e1b6881/uploads/Figure_1_6F.jpg

Explanation / Answer

length of sector = circumference of circle * central angle/360 degree
= 2*pi*r*45/360
= 2*pi*25*45/360
= 19.6 in

Area of sector = Area of circle * central angle/360 degree
= pi*r^2*45/360
= pi*25^2*45/360
= 245.4 in^2

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