Several students made comments about this image. A triangle has angles B, C, D. The exterior angle to angle B is A. Which commen
t is true? “If I know the measures of A and B, I can subtract those measures from 180 to find the measures of the other two angles.” “If I know the measure of C, I can find the measure of angle A because they are the same.” “If I know the measures of angles C and B, I can find the measures of A and D.” “If I know the measure of angle A, I can find the measure of angle D by subtracting from 180.”
2 answers:
A Comment "If i know the measures of angles C and B, I can find the measures of A and D" is TRUE
Explanation :
If we know angles C and B we can find angles A and D as,
As from figure we know
A+B = 180°
∴ A = 180° - B ... we know B so we get A
Also,
B+C+D = 180° ... as BCD is a triangle
∴ D = 180° - (B+C) ... we know B and C so we get D
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The shaded sector above covers of the circle.
Radius of the circle = 3 cm
To find:
The area of the sector in terms of π.
Solution:
The area of a circle is
Substituting , we get
It is given that the shaded sector above covers of the circle.
The area of shaded sector
Therefore, the area of shaded sector is 3π sq. cm.