Find the approximate value of a.
2 answers:
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Answer:
The best approximation for the area of the shaded region is
Step-by-step explanation:
<u><em>The complete question is</em></u>
The diameter of the larger circle is 12.5 cm. The diameter of the smaller circle is 8.5 cm.
What is the best approximation for the area of the shaded region?
Use 3.14 to approximate pi.
Small circle inside big circle, shaded region outside smaller circle and inside larger circle
we know that
To find out the area of the shaded region subtract the area of the smaller circle from the area of the larger circle
Remember that
The area of the circle is
so
where
r_1 is the radius of the larger circle
r_2 is the area of the smaller circle
we have
---> the radius is half the diameter
---> the radius is half the diameter
substitute
When you plot the data in a pie graph, it looks like that shown in the picture. A circle is formed when you draw a point and connect it from end to end forming a complete revolution. One revolution equals 360°. Therefore, each piece of pie for each type of book is a fraction of one revolution. The fraction can be determined by dividing the number for a specific type of book to the total number of books. Specifically, the fraction for the Self Help slice would be 90/375 which is equal to 0.24 or 24%. Then, 24% of 360 is 86.4. Therefore, the central angle formed by the Self Help slice is 86.4°.
