Geometry: Mensuration, Trigonometry

একটি সামন্তরিকের দুইটি সন্নিহিত বাহুর দৈর্ঘ্য যথাক্রমে 7 সেন্টিমিটার এবং 5 সেন্টিমিটার হলে, এর পরিসীমার অর্ধেক কত?

The distance from the centre of a circle of radius 5 cm to a chord of lengh 8 cm is-

The floor of a company's office has an area of 20,000 square feet. If the floor is in the shape of a square, approximately how many feet long is each side?

There are two squares S₁ and S₂. The ratio of their areas is 4 : 25. If the side of S₁ is 6 cm. What is the side of S₂?

A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have Paint on exactly two sides.

A pole 6m high casts a shadow 2√3m long on the ground, then the Sun's elevation is-

If the radius of a circle is increased by 100%, by what % is the area of the circle increased?

If the side of a square is increased by 10%, by what percent will the area be increased?

You are looking at a billboard 40m away with an angle of elevation of 30°. At what height is the billboard?

In square ABCD below, what is the value of (AC)(AD)/(AB)(DC) =?

The measurement of a rectangle is 16 feet by 12 feet. What is the area of the smallest circle that can cover this rectangle entirely (so that no part of the rectangle is outside the circle)?

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6m away from the wall. The length of the ladder is

A square is inscribed in a circle of diameter 2a and another square is circumscribing circle. The difference between the areas of outer and inner squares is -

How many tangents to a circle can be drawn from an external point?

A sector of a circle of radius 5 cm is recast into a right circular cone of height 4 cm. What is the volume of the resulting cone?

The hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle. The shorter side of the triangle is 7 centimeters less than the longer side. Find the length of the hypotenuse.

The width of a rectangle is 20 cm. The diagonal is 8 cm more than the length. Find the length of the rectangle.

If sec(x − 30°) = 2/√3, tan x = ?

There are 3 circles A, B and C (C > B > A). Area of the circle A is 100 Square Inch and B is 50% of C and 200% of A. What is the area of C?

(21 - 30) : Read the following questions carefully and choose the right answer.
21. The diameters of two circles are the side of a square and the diagonal of the square. The ratio of the area of the smaller circle and the larger circle is-