Area Questions

• ΔPQR is right angled at Q. QS is the altitude. PQ is 2√13 cm and PS is 8 cm. What is the length of SR?
• If a cylinder of radius 4.3 cm and height 4.8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone? (Use π = 22/7)
• If the radius of a circle is increased by 25%, its area increases by:
• What is the length of the side of an equilateral triangle, if its area is 36√3 sq cm?
• The area of a rectangle is 120 sq cm and its perimeter 140 cm. What is the length of its diagonal?
• An angle is (2/3)rd of its supplementary angle. What is the measure of the angle?
• The area of a trapezium is 21 sq cm, the distance between the parallel sides is 3 cm and one of the parallel sides is 8.3 cm. What is the length of the other parallel side?
• Triangle ABC is similar to triangle PQR and AB : PQ = 2 : 3. AD is the median to the side BC in triangle ABC and PS is the median to the side QR in triangle PQR. What is the value of (BD/QS)2 ?
• AB and AC are the two tangents to a circle whose radius is 6 cm. If ∠BAC = 60 deg, then what is the value (in cm) of √(AB2 + AC2) ?
• The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?
• ABC is a triangle. AB = 5 cm, AC = √41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?
• Length and breadth of a rectangle are 8 cm and 6 cm respectively. The rectangle is cut on its four vertices such that the resulting figure is a regular octagon. What is the side (in cm) of the octagon?