A pizza with a 14in diameter (7in radius) is cut into 10 slices. Another pizza with the same diameter and radius is cut into 12 slices. Find the interior angle and arc length for each pizza, as well as the area for each slice.

Question

A pizza with a 14in diameter (7in radius) is cut into 10 slices.  Another pizza with the same diameter and radius is cut into 12 slices. Find the interior angle and arc length for each pizza, as well as the area for each slice.

anonymous · Answer

@ParthKohli or @Miss_Deva 
Either of you know how to do this?><

anonymous · Answer

Even if you only show me how to do one of the pizzas so I can do the second

callisto · Answer

For pizza cut into 10 slices
angle of each slice = 360/10 = 36
$$arc \ length \ of \ each \ slice = 2 \pi r \times \frac{\theta}{360}=2 \pi (7) \times \frac{36}{360}$$$$Area \ of \  each \ slice  = \pi (7)^2 \times \frac{36}{360}$$

anonymous · Answer

Thank you!!

callisto · Answer

welcome!~

anonymous · Answer

@Callisto so do I just leave them at 2π(7)×36/360 and π(7)2×36/360
Or do I solve them all the way down to the exact number?

callisto · Answer

at least you need to simplify it!~ leave in terms of pi or decimal/integer, depends on the requirement of the question

anonymous · Answer

Alrighty! Thank you!

anonymous · Answer

@Callisto Sorry for bugging you on this again! But for the arc length AND the area I got an estimated 4.396
Are they supposed to be the same?

callisto · Answer

Area you've got is wrong :|
7^2 = 7 x 7 = 49...

anonymous · Answer

I wasnt squaring it>< my badd
Geometry is not my cup of tea

callisto · Answer

Not my cup of tea too :|