if you want to remove an article from website contact us from top.

    construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. also to verify the measurement by actual calculation.

    Mohammed

    Guys, does anyone know the answer?

    get construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. also to verify the measurement by actual calculation. from screen.

    Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.

    Click here👆to get an answer to your question ✍️ Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.

    Question

    Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of  radius 6 cm and measure its length. Also verify the measurement by actual calculation. 

    (1)Draw two concentric circle C

    Easy Open in App Solution Verified by Toppr 1 ​ and C 2 ​ with common center

    0 and radius 4cm and 6cm

    (2) Take a point P on the outer circle C

    2 ​ and join OP.

    (3) Draw the bisector of OP which bisect OP at M'.

    (4) Taking M' as center and OM' as radius draw a dotted circle which

    cut the inner circle C

    1 ​

    at two point M and P.

    (5) Join PM and PP'.  Thus, PM and PP' are required tangent.

    On measuring PM and PP'.

    PM=PP ′ =4.4cm Bycalculation: InΔOMP,∠PMO=90 0 PM 2 =OP 2 −OM 2

    (bypythagorastheorem)

    PM 2 =(6) 2 −(4) 2 =36−16=20 PM 2 =20cm PM= 20 ​ =4.4cm Hence,

    thelengthofthetangentis4.4cm

    Was this answer helpful?

    256 19

    स्रोत : www.toppr.com

    Construct a Tangent to a Circle of Radius 4 Cm Form a Point on the Concentric Circle of Radius 6 Cm and Measure Its Length. Also, Verify the Measurement by Actual Calculation.

    Construct a Tangent to a Circle of Radius 4 Cm Form a Point on the Concentric Circle of Radius 6 Cm and Measure Its Length. Also, Verify the Measurement by Actual Calculation.

    Advertisement Remove all ads

    Construct a tangent to a circle of radius 4 cm form a point on the concentric circle of radius 6 cm and measure its length. Also, verify the measurement by actual calculation.

    Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm ?

    Advertisement Remove all ads

    SOLUTION 1

    Steps of Construction

    Step 1: Mark a point O on the paper

    Step 2: With O as center and radii 4cm and 6cm, draw two concentric circles.

    Step 3: Mark a point P on the outer circle.

    Step 4: Join OP.

    Step 5: Draw the perpendicular bisector XY of OP, cutting OP at Q.

    Step 6: Draw a circle with Q as center and radius OQ (or PQ), to intersect the inner circle in points T and T’.

    Step 7: Join PT and PT’.

    Here, PT and PT’ are the required tangents.

    PT = PT’ 4.5 cm (Approx)

    Verification by actual calculation

    Join OT to form a right ΔOTP (Radius is perpendicular to the tangent at the point of contact)

    In right ΔOTP, OP2=OT2+PT2

    (Pythagoras Theorem)

    ⇒PT=OP2-OT2

    ⇒PT=62-42=36-16=20 ≈ 4.5cm

    (OP = 6 cm and OT = 4cm)

    SOLUTION 2

    Steps of construction:

    1. Draw two concentric circles with centre O and radii 4 cm and 6 cm. Take a point P on the outer circle and then join OP.

    2. Draw the perpendicular bisector of OP. Let the bisector intersects OP at M.

    3. With M as the centre and OM as the radius, draw a circle. Let it intersect the inner circle at A and B.

    4. Join PA and PB. Therefore,

    PA¯ and PB¯

    are the required tangents.

    Concept: Construction of Tangents to a Circle

    Is there an error in this question or solution?

    Chapter 13: Constructions

    Q 10 Q 9

    APPEARS IN

    RS Aggarwal Secondary School Class 10 Maths

    Chapter 13 Constructions

    Q 10

    2012-2013 (March) Delhi set 3 (with solutions)

    VIDEO TUTORIALS

    VIEW ALL [6] view

    Video Tutorials For All Subjects

    Construction of Tangents to a Circle

    video tutorial 00:02:42

    Construction of Tangents to a Circle

    video tutorial 00:04:46

    Construction of Tangents to a Circle

    video tutorial 00:09:39

    Construction of Tangents to a Circle

    video tutorial 00:05:39

    Construction of Tangents to a Circle

    video tutorial 00:02:06

    Construction of Tangents to a Circle

    video tutorial 00:09:40 Advertisement Remove all ads

    स्रोत : www.shaalaa.com

    Ex 11.2, 2

    Ex 11.2, 2 Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation. Steps of construction Draw a circle of radius 4 cm with center O Draw concentric circle of radius 6 cm,

    Ex 11.2, 2 - Chapter 11 Class 10 Constructions (Term 2)

    Last updated at July 14, 2020 by Teachoo

    स्रोत : www.teachoo.com

    Do you want to see answer or more ?
    Mohammed 6 month ago
    4

    Guys, does anyone know the answer?

    Click For Answer