CUET General Test: GeometryCircles. Free, no login required.

The ratio of the circumferences of two circles is 2 : 3. Find the ratio of their areas.

For a circle of radius r and $\theta$ as central angle, which of the following statements is/are correct?

(A) Volume = $\frac{2}{3}\pi r^2$

(B) Circumference = $2\pi r$

(C) Area = $\pi r^2$

(D) Area of sector = $\frac{\pi r^2 \theta}{360}$

Choose the correct answer from the options given below:

The radius of a circle is 14 m. The area of the circle is:

If point P(4, 2) lies on the circle having centre O(-1, 1), and C is the circumference of the circle, then value of $49C^2$, is:

If two tangents inclined at an angle 60° are drawn to a circle of radius 5 cm, then what is the length of each tangent?

Find the value of x in the adjoining figure, if it is given that PR and QS are diameters of the circle.

When a particular wire is bent into the shape of a square, then the area of the square turns out to be $81cm^2$. When the same wire is bent into a circle, then the radius of the circle (correct to two decimal places) is

The area of a sector of a circle of radius 36 cm is $72\pi$ cm². Find the length of the corresponding arc of the sector.

A wheel makes 2000 rounds when it covers a distance of 88 km. Find the radius of the wheel?

Four circles of equal radius are drawn with centers, A, B, C and D such that ABCD is a square of side 14 cm and the circles touch externally as in the figure. The area of the shaded region bounded by the 4 circles is: (Take $\pi = \frac{22}{7}$)

A, B, C, are three points on the circumference of a circle and if $AB = AC = 5\sqrt{2}$, angle $BAC = 90$ degrees then radius of the circle is __________.

The area of a circle is 154 cm$^2$. Find the circumference of the circle. (Take $\pi = \frac{22}{7}$)

The circumference of a circular field is 396 m and that of the other circular field is 132 m. Find the area (in m$^2$) of the third circular field whose radius is the sum of the radii of the first two fields. Take $\pi = \frac{22}{7}$

Find the length of the arc of a circle with radius 5 cm, if its central angle is $70^\circ$.

AB is a diameter of a circle with centre (3, 4). If coordinates of A is the point (4, 9), then find the coordinates of B.

The area of a circle is numerically equal to its circumference. Find the diameter of the circle.

Find the area of the largest circle that can be drawn inside a rectangle with sides 8 m $\times$ 9 m.

The diameter of a circle whose area is numerically 110 more than its circumference is