+68 1
The logo for a new company is a circle divided into 24 equally sized sectors. Six of the sectors are white, and the others are different colors.
The area of one of the white sectors is 13π/50 inches squared.
What is the radius of the circle? Enter your answer rounded to the nearest hundredth.
2.
What is the area of a triangle whose sides measure 13 inches, 15 inches, and 24 inches?
Enter your answer, in simplified radical form, and don't forget inch^2.
+129852 180 / 24 = 15° for each sector
So....the white ones occupy 6 * 15° = 90° = area of (1/4) of the circle
So we have that
6 *(13/50) pi = (1/4) pi * radius ^2 divide both sides by pi
(78/50) = (1/4) * radius ^2 multiply both sides by 4
6.24 = r^2 take the sqrt
sqrt (6/24) = r ≈ 2.50 in
+129852 What is the area of a triangle whose sides measure 13 inches, 15 inches, and 24 inches?
s =semi-perimeter = [ 13 + 15 + 24 ] / 2 = [ 52 ] / 2 = 26
Area =
√ [s (s - a) (s - b) (s - c) ] where a,b,c = triangle's sides
√ [26 ( 26 - 13) (26 - 15) (26 -24) ] =
√ [ 26 * 13 * 11 * 2 ] =
√ [ 13 * 2 * 13 * 11 * 2 ] =
13*2√ 11
26√ 11 in ^2
