Finding Arc Length Here we are going to learn about Arc length and formula to find the Arc Length. Arc Length is nothing but length or an arc. Arc is a curve. We can also call it as arc length of a curve. Arc length is defined as the measure of the distance along the curved line making up an arc. The arc length is longer than the straight line distance between its end points. We can consider an segment in a circle, which is an arc. Consider the below figure In the figure shown above, the arc length is the blue coloured portion indicated by s. Let be the angle made by the end points with the center of the circle. The distance from one end point of the curve or arc to the center is called as radius. If we know the radius and value we can find out the arc length using the below formula. Arc Length Practice Problems Problem 1: Evaluate the arc length of a circle of diameter and the central angle 1800. Know More About Sequence Worksheets
Answer : The arc length of the circle which is the semicircular arc is Problem 2: Evaluate the arc length of a circle of radius 9 cm and the central angle 1200 Answer : The arc length of the circle is 18.84 cm Example 2: Calculate the arc length of a circle with circumference 31.42 cm and the the central angle is given by 450 . Solution : Step 1: As the circumference of the circle is given, the radius of the circle can be calculated as mentioned in the above formula table.
Learn More Parallel and Perpendicular Lines Worksheet
Similar Triangles Examples Similar Triangles are two triangles that are having congruent corresponding angles and the ratios of the corresponding sides are in proportion. This proportion is also called as similarity ratio. The similar triangles are also called as equiangular triangle. This is because in equilateral triangles, both the triangles have equal angles. The similar triangles have common shape but different sizes. In the above figure, the two triangles are of same shape but different sizes. And so, the above two triangles are called as similar triangles. Properties of Similar Triangles Given below are some of the properties of similar triangles: Corresponding Angles of both the triangles are equal. <P=<A, <Q=<B, <R=<C
The corresponding sides of the triangles are having same ratio. AB/PQ= BC/QR=AC/PR = X, where X is called as the similarity ratio Rules of Similar TrianglesBack to Top There are some rules to test the similarity of triangles. They are as follows: Angle Angle Angle (AAA) Side Side Side (SSS) Side Angle Side (SAS) AAA Similarity: When three angles of the triangles are equal, we can say that the two triangles are similar triangles. That is, the corresponding angles are having equal measurement. SSS Similarity: When three corresponding sides of the triangles are equal, we can say that the triangles are similar triangles. SAS Similarity: When two sides in one triangle are in the same proportion to the corresponding sides of the other and the included angles are equal, we can say that both are similar triangle. Read More About Solving Equations Worksheet
Thank You
TutorVista.com