Determine the area of the quadrilateral shown, \(OB = 80\) cm, \(AO = 120\) cm, \(OD = 150\) cm and \(\phi = 25^\circ\).
A\(2721.66 \text{ cm}^2\)
B\(2271.66 \text{ cm}^2\)
C\(2172.66 \text{ cm}^2\)
D\(2217.66 \text{ cm}^2\)
Mathematics · Question Bank
Analytic Geometry
189 of 233 questions match · page 3 of 10. Answer in your head first, then check the solution.
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.
A\(100 \text{ m}^2\)
B\(124 \text{ m}^2\)
C\(168 \text{ m}^2\)
D\(158 \text{ m}^2\)
The area of a regular hexagon inscribed in a circle of radius \(1\) is
A1.316
B2.945
C2.598
D3.816
Find the area (\(\text{in cm}^2\)) of a regular octagon inscribed in a circle of radius \(10\) cm?
A283
B289
C298
D238
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.
A36.45 sq. m
B63.54 sq. m
C45.63 sq. m
D54.36 sq. m
Find the area of a regular pentagon whose side is \(25\) m and apothem is \(17.2\) m.
A\(1075 \text{ m}^2\)
B\(1085 \text{ m}^2\)
C\(1080 \text{ m}^2\)
D\(1095 \text{ m}^2\)
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?
A5.533 in.
B5.335 in.
C6.335 in.
D7.335 in.
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?
A40.5 sq. m
B45.5 sq. m
C50.5 sq. m
D55.5 sq. m
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.
A\(430.70 \text{ cm}^3\)
B\(573.26 \text{ cm}^3\)
C\(473.77 \text{ cm}^3\)
D\(516.14 \text{ cm}^3\)
Determine the area of a regular \(6\)-star polygon if the inner regular hexagon has \(10\) cm sides.
A\(441.66 \text{ cm}^2\)
B\(467.64 \text{ cm}^2\)
C\(519.60 \text{ cm}^2\)
D\(493.62 \text{ cm}^2\)
The linear distance between -4 and 17 on the number line is
A13
B21
C-17
D-13
Find the distance between \(A(4,-3)\) and \(B(-2,5)\).
A11
B9
C10
D8
If the distance between points \((3,y)\) and \((8,7)\) is \(13\), then y is equal to
A5 or -5
B5 or 19
C19
D-5 or 19
Find the coordinates of a point equidistant from \((1,-6)\), \((5,-6)\) and \((6,-1)\).
A(2,-2)
B(3,-2)
C(3,-3)
D(2,-3)
The line segment connecting \((x,6)\) and \((9,y)\) is bisected by the point \((7,3)\). Find the values of x and y.
A14, 6
B33, 12
C5, 0
D14, 6
If \((-2,-4)\) is the midpoint of \((6,-7)\) and \((x,y)\), then the values of x and y are
Ax=2, y=1
Bx=-10, y=-1
Cx=10, y=-1
Dx=-8, y=-1
Determine the coordinates of the point which is three-fifths of the way from the point \((2,-5)\) to the point \((-3,5)\).
A(-1,1)
B(-2,-1)
C(-1,-2)
D(1,-1)
The segment from \((-1,4)\) to \((2,-2)\) is extended three times its own length. The terminal point is
A(11,-24)
B(-11,-20)
C(11,-18)
D(11,-20)
The points \((a,1)\), \((b,2)\) and \((c,3)\) are collinear. Which of the following is true?
Ac-b=c-a
Bc-b=b-a
Cc-a=a-b
Dc-a=b-a
If the slope of the line connecting the origin and point P is \(3/4\), find the abscissa of P if its ordinate is \(6\).
A2
B6
C7
D8