Mathematics
Grade9
Easy

Question

Calculate the length OC tangent from a point 15 cm away from the center of a circle of radius 9 cm.

  1. 13 cm
  2. 20 cm
  3. 12 cm
  4. None of the above

hintHint:

In this question, we have to calculate the length OC tangent from a point 15 cm away from the center of a circle of radius 9 cm. as the triangle formed will be the right angled triangle as angle formed by radius and tangent is right angle. so hypotenuse is 15 cm and perpendicular is 9cm and OC being the base. We can easily calculate the base by using pythagoras theorem.

The correct answer is: 12 cm


    According the given information, the triangle is right angled triangle
    so, hypotenuse = 15cm and perpendicular = 9 cm
    let OC be the base .
    p squared plus b to the power of 2 space end exponent equals h squared
9 to the power of 2 space end exponent plus b squared equals 15 squared
b squared equals space 225 minus 81
b equals square root of 144
b equals 12
    Hence, the length of OC is 12 cm.

    Related Questions to study

    Grade9
    Mathematics

    A tangent PQ at a point P of a circle of radius 5 cm meets a line through the center O at a point Q so that OQ = 13 cm. Find the length of PQ.

    A tangent PQ at a point P of a circle of radius 5 cm meets a line through the center O at a point Q so that OQ = 13 cm. Find the length of PQ.

    MathematicsGrade9
    Grade9
    Mathematics

    How many common tangents do the following figures have?

    How many common tangents do the following figures have?

    MathematicsGrade9
    Grade9
    Mathematics

    How many common tangents do the following figures have?
          

    How many common tangents do the following figures have?
          

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    What should be the angle between the tangent and radius?

    What should be the angle between the tangent and radius?

    MathematicsGrade9
    Grade9
    Mathematics

    What is the plural of the word radius?

    What is the plural of the word radius?

    MathematicsGrade9
    Grade9
    Mathematics

    What is the name of the following theorem?
    a+ b= c2

    What is the name of the following theorem?
    a+ b= c2

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    A line, ray or segment that is tangent to two coplanar circles is called

    A line, ray or segment that is tangent to two coplanar circles is called

    MathematicsGrade9
    Grade9
    Mathematics

    Coplanar circles that intersect at one point are called

    Coplanar circles that intersect at one point are called

    MathematicsGrade9
    Grade9
    Mathematics

    Which is the largest chord in the circle?

    Which is the largest chord in the circle?

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    What is the diameter in the given figure?

    What is the diameter in the given figure?

    MathematicsGrade9
    Grade9
    Mathematics

    What is the name of the line segment MJ?

    What is the name of the line segment MJ?

    MathematicsGrade9
    Grade9
    Mathematics

    Identify the Secant in the given figure.

    Identify the Secant in the given figure.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    Identify the secant in the given figure.

    Identify the secant in the given figure.

    MathematicsGrade9
    Grade9
    Mathematics

    Identify the Chord in the given figure.

    Identify the Chord in the given figure.

    MathematicsGrade9
    Grade9
    Mathematics

    What is the name of line segment AB?

    What is the name of line segment AB?

    MathematicsGrade9
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.