Area Questions

• Find the perimeter (in cm) of a semicircle of radius 28 cm.
• ABCD is a quadrilateral inscribed in a circle (radius = ). The bisectors of the angles DAB and BCD intersect the circle at X and Y, respectively. What is the length of the straight line XY?
• A tent is to be built in the form of a cylinder of radius 10 m surmounted by a cone of the same radius. If the height of the cylindrical part is 5 m and slant height of the conical part is 15 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)
• There is a square field of area ‘X’ square meters. A cylindrical ditch of radius 7 meters and depth 2 meters is dug, and the earth is taken out and spread over the remaining part of the square field, the height of square field which goes up by 0.77 meters. What is the value of ‘X’ ?
• If a cylinder of radius 4 cm and height 8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?
• In the circle, chord AB is extended to meet the tangent DE at D. If AB = 12 cm and DE = 8 cm, find the length of BD.
• What is the length of the arc whose central angle is 30° and radius of the circle is 21 cm?
• Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of rectangle?
• What is the slope of the line parallel to the line passing through the points (4,-2) and (-3,5)?
• Find the volume (in cm3) of a right circular cylinder of diameter 21 cm and height 10 cm.
• A pentagonal prism has 15 edges. How many vertices does it have?
• At what point does the line 4x - 3y = -6 intercept the y-axis?
• Calculate the area (in cm2 ) of a circle of radius 10.5 cm.
• What is the area (in sq cm) of a rhombus if the lengths of its diagonals are 25 cm and 20 cm?
• If the radius of a circle is decreased to 25% of its original value, calculate the percentage decrease in the area of the circle
• The perimeter and the breadth of a rectangle are 60 cm and 14 cm respectively. Find its area (in cm²)
• The area of a square is 100 sq cm, find length of its diagonal?
• If the radius of a circle is increased by 14% its area increases by
• In an equilateral triangle of side 24 cms, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is equal to
• One of the internal angle of a rhombus is 60° and length of its shorter diagonal is 8 cm. What is the area of the rhombus?