What is the ratio of the area of the shaded region to the area of the non-shaded region?
Consider the following for the next two (02) items that follow:<br>ABCD is a circle with centre O and taking OC as a diameter, a circle is drawn as shown in the figure given below. Let OB=7 cm. (Use \pi=\frac{22}{7})
- A. \frac{19}{25} ✓
- B. \frac{18}{25}
- C. \frac{17}{25}
- D. \frac{16}{25}
Correct Answer: A. \frac{19}{25}
Explanation
Using the calculated shaded area of 66.5 sq cm, the non-shaded area is 154 - 66.5 = 87.5 sq cm. Their ratio is \frac{66.5}{87.5}, which simplifies to \frac{665}{875} = \frac{19}{25}.
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