Answer:
The correct option is B) 294 square inches
Step-by-step explanation:
Consider the provided information
There are two circles inscribed in a circle.
The two circles touch each other at one point and each one touch the bigger circle at one point.
The radius of the smaller circle is 7 inches.
The diameter of the bigger circle = sum of the diameters of the two smaller circle.
The diameter of smaller circle is = 2 × 7 = 14 inches
Therefore, the diameter of the bigger circle = 14 + 14 = 28 inches
The radius bigger circle is 28/2 = 14 inches
Area of the shaded part = Area of bigger circle - Area of both smaller circle.
Area of bigger circle = πr²
Area of bigger circle = 3 × 14² (π=3 given)
Area of bigger circle = 588 inches²
Area of smaller circle = 3 × 7² (π=3 given)
Area of smaller circle = 147 inches²
We have two smaller circle, so the area of of two smaller circles = 2 × 147 = 294 inches²
Area of the shaded part = Area of bigger circle - Area of both smaller circle.
Area of the shaded part = 588 - 294 = 294 inches²
Hence, the area of the shaded region is 294 square inches.
Therefore, the correct option is B) 294 square inches
