Analytic Geometry

Determine the area of the quadrilateral shown, \(OB = 80\) cm, \(AO = 120\) cm, \(OD = 150\) cm and \(\phi = 25^\circ\).

Find the area of a quadrilateral have sides \(12\) m, \(20\) m, \(8\) m and \(16.97\) m. if the sum of the opposite angles is equal to \(225^\circ\) find the area of the quadrilateral.

The area of a regular hexagon inscribed in a circle of radius \(1\) is

Find the area (\(\text{in cm}^2\)) of a regular octagon inscribed in a circle of radius \(10\) cm?

A regular hexagon is inscribed in a circle whose diameter is \(20\) m. Find the area of the \(6\) segments of the circle formed by the sides of the hexagon.

Find the area of a regular pentagon whose side is \(25\) m and apothem is \(17.2\) m.

The area of a circle is \(89.42\) sq. inches. What is the length of the side of a regular hexagon inscribed in a circle?

In a circle of diameter of \(10\) m, a regular five-pointed star touching its circumference is inscribed. What is the area of that part not covered by the star?

A regular pentagon has sides of \(20\) cm. An inner pentagon with sides of \(10\) cm is inside and concentric to the larger pentagon. Determine the area inside and concentric to the larger pentagon but outside of the smaller pentagon.

Determine the area of a regular \(6\)-star polygon if the inner regular hexagon has \(10\) cm sides.

What conic section is 2x² - 8xy + 4x = 12?

What conic section is described by the equation r = 6 / (4 – 3cosӨ)?

If the second-degree equation Ax² + Bxy + Cy² +Dx + Ey + F = 0 represents a real conic and B² – 4AC is positive, then it is

If the slopes of two lines are equal and their y-intercepts are different, then the lines are

A line with inclination between 0° and 90° has

The parabola x² – 4x + 2y – 6 = 0 opens

The locus of a point on a circle which rolls without slipping on a straight line is called

If b² – 4ac < 0, then the graph of y = ax² + bx + c

The slope of a vertical line is

If the inclination θ of a line is an obtuse angle, then the tangent of θ is