Kelly loves to eat chocolate pizza. Each square inch of chocolate is 30 calories. She orders a slice of chocolate pizza from a pizza with a diameter of 12 inches that is cut with a central angle of 40 degrees. How many calories does she eat?
about 377 calories .If you want to understand it …… first what is the area of the whole pizza in square inches ? Well the radius is 6 inches ( half the diameter ) . The area is Pi multiplied by the squared radius . This is PI x 36 ( 6 squared ). Pi x 36 is 113.14 square inches . That’s the area of the pizza . How many slices are there ? Well the central angle is 40 degrees . 360 divided by 40 is 9 .So there are 9 slices . Kelly has one slice . It is one Ninth of the area of the whole pizza .One Ninth of 113.14 is 12.57 . So the area of her slice is 12.57 square inches .Each square inch has 30 calories . 12.57 x 30 = 377.133 calories .
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