32.
Find the area of the shaded region in the triangle PQR where radius of
each sector drawn at the vertex of the triangle is 7cm.
Attachments:
Answers
Answered by
2
Step-by-step explanation:
PQR is an equilateral triangle
angle P = angle Q = angle r = 60°
AREA OF SHADED REGION = AREA OF TRIANGLE - AREA OF 3 SECTORS
area of triangle = 1/2 *sin60*r^2
= 1/2 * root3/2 *( 7 )^2
= 1/2 * 1.73/2 * 49
= 1/2 * 0.865*49
= 1/2 *42.385
= 21.1925 cm^2
Thieta = 60°(equilateral triangle)
area of 3 sectors = 3*thieta/360 * pie (r)^2
= 3*60/360*22/7*49
= 3*1/6*22*7
= 3*1/6*154
= 462/6
= 77 cm^2
21.19525cm^2 - 77cm^2 =
Similar questions
English,
30 days ago
Hindi,
30 days ago
Social Sciences,
30 days ago
Science,
2 months ago
Political Science,
8 months ago