# in the given figure square WXYZ inscribed in the circle o. also OM is perpendicular to XY. OM is 7….

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### Tanong

in the given figure square WXYZ inscribed in the circle o. also OM is perpendicular to XY. OM is 7. Find the area of shaded region.

### Mga sagot sa #1 sa Tanong: in the given figure square WXYZ inscribed in the circle o. also OM is perpendicular to XY. OM is 7. Find the area of shaded region.

Step-by-step explanation:

calculate the area of the square inside:

since from the mid point to the sides is 7, then the whole length will be 14.

14 × 14 =196

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use Pythagorean theorem to find the radius of the circle:

utilizing the square, the radius will be the length from mid-point to the edge or angle of the square.

since OM is half of the whole length and M is the midpoint of XY (because O is the midpoint of the square or circle and OM is perpendicular to XY) we can get that OM=XY

as OM=XY, they form a right triangle, we can use a²+b²=c² to find the hypotenuse

7²+7²=(7√2)²

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find the area of the circle:

formula is πr²