Learn Class 10 Math - Areas Related to Circles

The circle is a term that has three possibilities, including the non-intersecting point, single common point, or two common points.

The line will touch the circle in the single common point, whereas the line will cut the circle in the two common points.

Formulas

  • The area of the circle is in terms of πr2.
  • The r is the radius of the circle.
  • And d = 2r, in which d is the circle's diameter.
  • The circumference of the circle refers to the 2πr.
  • The unit of the circle is always in square terms.

Elements of the circle

  • Radius

    The radius is the constant distance from the circle.

  • Diameter

    The diameter is the full length that passes through the circle.

  • Chord

    The line that joins any two circle points is known as a chord.

  • Circumference

    The circle's circumference is the perimeter of the circle that evolved around the whole circle. At the time of evaluation, you will also get the term perimeter of the circle.

Problem

The radius of the circle is 4 cm. What is the circle area?

Solution

The area of the given circle is equal to πr2.

Put 4 in the term r of the circle.

A = π ( 4 ) (4)

= 16 π = 50.27.

Learning Videos for 10th Grade Math - Areas Related to Circles

Areas Related to Circles Sample Questions for Class 10

Question 1

What is the missing reason in step 3?
A. Measure of central angle is 1/2 the measure of intercepted arc
B. Intersecting Secant Theorem
C. Sum of the angles in a triangle is half of the sum of the non-overlapping central angles in a circle
D. Measure of inscribed angle is 1/2 the measure of intercepted arc

Question 2

Use dimensional analysis to find how many minutes are in a year. Round to the nearest minute if necessary.
A. 525,600 minutes
B. 21,900 minutes
C. 8,760 minutes
D. 913 minutes

Question 3

If we are to translate circle B to circle A, which of the following translations would accomplish this?
A. Translate circle B by vec{AB}.
B. Translate circle B by vec{BA}.
C. Translate circle B by its radius.
D. Translate circle B by the radius of circle A.

Question 4

If the measure of arc ED is 120° and the measure of angle BAC is 44°, what is the measure of arc BC?
A. 34°
B. 48°
C. 32°
D. 64°

Question 5

Let f(x) = x^2 - 2x - 15. What is the range of f ?
A. {y in RR | y >= 15}
B. {y in RR | y <= -16}
C. {y in RR | y >= -16}
D. RR