The area of the triangle whose vertices are given by the coordinates (1, 2), (-4, -3) and (4, 1) is:

Each exterior angle of a regular polygon measures 9°. How many sides does the polygon have?

On increasing the radius of circle by 1 cm, its area is increased by 44 cm² .The original radius of the circle is -

The sides BA and DE of a regular pentagon are produced to meet at F. What is the measure of ∠EFA?

Triangle PQR is inscribed in a circle such that P, Q and R lies on the circumference . If PQ is the diameter of the circle and ∠PQR = 40 ° , then what is the value ( in degrees ) of ∠QPR ?

In △ABC, D and E are points on the sides AB and AC, respectively, such that DE || BC and DE: BC=6:7. (Area of △ ADE): (Area of trapezium BCED) = ?

A sector area of 4%   is removed from a circular sheet of paper of diameter 50 cm, If the remaining part is used to make a conical surface , then the ratio of radius and height of the-

An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor are BC and ∠CBD=40⁰. Find the measure of ∠BCD.