Question
If all teachers are learners, and some learners are
researchers, which of the following statements is necessarily true?Solution
Explanation: Since all teachers are learners and some learners are researchers, it follows that some researchers are teachers.
In a circle, two chords AB & CD are produced at P which is outside the circle . If PA= 18 cm, AB= 12 cm , PC = 6 cm then find CD.
Find the area of largest square that can be inscribed in a circle of radius ‘r’.
- A circle has its area eleven times greater than its circumference in numeric value. Find the circle’s diameter.
In the given diagram, point 'O' represents the center of a circle, while AB and DE are two distinct chords within the circle. The line segment OC is per...
Two chords AB and CD of a circle intersect at E such that AE = 3.4 cm, BE = 4.2 cm and CE = 2.6 cm. What is the approximate length of DE?
- The area of a circle is nine times its circumference (numerically). What is the diameter of the circle?
A sector of a circle has a central angle of 120° and a radius of 10 cm. Find the area of the sector.
Two tangents are drawn from an external point P to a circle with center O and radius r. If the distance between P and O is 2r, find the angle subtended ...
Two chords of a circle 'PQ' and 'RS' crosses each other at an exterior point 'O'. Determine the length of the chord 'RS' if the chord PQ is 36 cm long, ...
- The numerical value of the area of a circular park is ten times the numerical value of its perimeter. Find the diameter of the park.
