Area Questions

• A right circular cylinder has height 28 cm and radius of base 14 cm. Two hemispheres of radius 7 cm each are cut from each of the two bases of the cylinder. What is the total surface area (in cm2) of the remaining part?
• The height of the equilateral triangle is 9 cm. What is the radius (in cm) of the circle circumscribing the three vertices?
• The length of the diagonal and the breadth of a rectangle are 25 cm and 7 cm respectively. Find its perimeter (in cm).
• If a regular polygon has 6 sides then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees?
• The curved surface area and the slant height of a right circular cone are 99 sq.cm and 9 cm respectively. Find its diameter (in cm)
• Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 2:5, and area of Δ APQ is 4 sq cm, what is the area of trapezium PQCB?
• The length of a string is 8 feet and 9 inches, which is divided into 3 equal parts. What is the length of each part in inches?
• The side of an equilateral triangle is 14 cm. Find its area (in sq.cm).
• If the perimeter of a semi-circle is 36 cm, then find its radius (in cm).
• The length of the diagonal of a rectangle is 26 cm and that of one side is 10 cm. What is the area of this rectangle?
• Find measure of central angle of the arc whose length is 22 cm and radius of the circle is 28 cm?
• The area of an equilateral triangle is 9√3 sq cm, find its perimeter?
• ABCD is a kite where m∠A is 90° and m∠C is 60°. If length of AB is 6 cm, what is the length of diagonal AC?
• A rectangular swimming pool of length 20 m and breadth 10 m has a uniformly sloping floor. It is 1 m in depth on one end of its length and 3 m at the other. How much water is needed to completely fill this pool? (Take π = 22/7)
• Find the radius of the circle if the area of its sector is 30.8 sq cm whose corresponding central angle is 72°?
• What is the measure of central angle of the arc whose length is 11 cm and radius of the circle is 14 cm?
• A cylindrical vessel of height 5 cm and radius 4 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 6 cm. What will be the height of this cone? (Take π = 22/7)
• Point P is the midpoint of segment AB. Co-ordinates of point P are (2,1) and point A are (11,5). Co-ordinates of point B are
• In Δ ABC, the median AD is 6 cm and CB is 12 cm, measure of angle CAB is
• If the sum of the measures of all the interior angles of polygon is 2340°. What is the number of sides of the polygon?