The area of triangle formed by joining the centres three congruent externally touching and
49,3 cm. then find the radius of c

Question

The area of triangle formed by joining the centres three congruent externally touching and
49,3 cm. then find the radius of circle
INTSE Stage-1200
(A 7 cm
B7 cm
(C) 7,3 cm
(D) 43 cm​

in progress 0
Claire 2 months 2021-07-27T21:56:33+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-27T21:57:52+00:00

    Answer:

    a) 7 cm

    Step-by-step explanation:

    Let the radius of each circle be r

    The length of side of an equilateral triangle formed by the centers of three congruent externally touching circles is 2r

    The area of triangle is

    2

    1

    ×2r×2r×sin(60

    0

    )=

    3

    r

    2

    =49

    3

    ⇒r

    2

    =49

    ⇒r=7

    Therefore the radius of circle is 7cm

    So the correct option is A.

    hope it’s helpful to you!

Leave an answer

Browse

9:3-3+1x3-4:2 = ? ( )