Geometry Questions

The longest chord of a circle is equal to:

The internal angle bisectors BI and CI of ∠B and ∠C of a ΔABC meet at point I. If ∠A=38
∘
, then what is ∠BIC equal to?

If you have a regular icosahedron and you slice it along a plane that intersects six of its faces, what is the shape of the resulting cross-section?

Find the number of triangles in the figure.

Find the number of triangles in the figure.

Find the number of triangles in the figure.

Which of the following statements is correct?The angle between two tangents to a circle may be $0^{\circ }$.If a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel.The tangents at the end points of a diameter of a circle are perpendicular.

A rhombus has a perimeter of $122.2\text{metres}$. Find the length of each side of the rhombus.

Calculate the area of a rectangle whose length is $17.2\text{cm}$ and width is $13.4\text{cm}$.

PQ is a diameter of a circle and PS is a chord. If PQ is 82cm and PS is 80cm, the distance (in cm) of PS from the center of the circle is:

Find the area (in cm
2
) of a circle with a maximum radius that can be inscribed in a rectangle of length 18cm and breadth 12cm.

The median AD of a triangle ABC is produced and a perpendicular CF is dropped on it. BE is perpendicular to AD. If BC=34cm and DF=8cm, what is the length (in cm) of BE?

If x
2
−1, 2x and x
2
+1 are the three sides of a right-angled triangle, then which of the following can be its hypotenuse?