Geometry Mix || 29.04.2021

If a regular polygon has 10 sides then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees?

In the given figure, BC is a chord and CD is tangent through the point C. If ∠AOC = 118° then find the ∠ACD?

A triangle PQR is right angled at Q. E and F are mid points of QR and PR, respectively. What will be the ratio of the area of the quadrilateral PQEF to the area of triangle PQR.

A, B and C are three points on the circle. If AB = AC = 7√2 cm and ∠BAC = 90º, then the radius is equal to:

ABC is an equilateral triangle P, Q and R are the midpoints of sides AB, BC and CA, respectively. If the length of the side of the triangle ABC is 8 cm, then area of ΔPQR is:

If the three sides of a triangle are 11 cm, 12 cm and 13 cm, then what is the area of the given triangle (in cm²)?

A circle is centred at O. Two tangents AP and AQ are drawn from an external point A, if ∠POQ=118°, then ∠PAQ is equal to:

In a quadrilateral ABCD, the bisectors of ∠C and ∠D meet at E. If ∠CED = 56° and ∠A = 49°, then the measure of ∠B is :

In ΔABC, E and D are points on sides AB and AC, respectively, such that ∠ABC = ∠ADE. If AE = 6 cm, AD = 4 cm and EB = 4 cm, then the length of DC is:

The middle points of the parallel sides AB and CD of a parallelogam ABCD are P and Q, respectively. If AQ and CP divide the diagonal BD into three parts BX, XY and YD, then which one of the following is correct?