Question
A sector of a circle has a central angle of 120°. The
radius of the circle is 14 cm. Find the area of the sector.Solution
The area of a sector is given by the formula: Area = (θ / 360) × πr², where θ is the central angle in degrees and r is the radius. Area = (120 / 360) × π × 14² Area = (1/3) × 22/7 × 196 Area = 205.33 cm². Answer: d) 205.33 cm²
A conical water tank has a radius of 7 meters and a height of 24 meters. Water is being pumped into the tank at the rate of 20 cubic meters per minute. ...
Given are three points A(2, 7), B(4, -1), C(- 2, 6) on a plane. What kind of triangle is formed by joining the points A, B, and C?
The lengths of three medians in a triangles are 24 cm, 32 cm, 40 cm. What is the area of that traingle (in cm 2 )?
A rectangle with a diagonal of length 28m is inscribed in a circle. Find the area of a circle?
In a circle, the chord AB is 12 cm, and the perpendicular from the center O to the chord AB bisects it at point P. If OP = 5 cm, what is the radius of t...
In a line PQ, is drawn parallel to BC, points P, Q being on AB and AC respectively. If AB = 3 AP, then what is the ratio of the area of t...
In ABC,D is a point on side AB such that BD = 2 cm and DA = 3 cm. (E is a point on BC such that DE) AC, and AC = 4 cm. Then (Area of A BDE) : (Area of ...
Determine the measure of ∠SQT in the following figure given that ST = QT.
If two complementary angles are in the ratio of 7:2, find the greater angle.
If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 60 cm² , then the area of ∆EFG is?
