SOLUTION: May you please help me with this and explain ,thank you .A triangle has an area of 15 cm² and the base of 5 cm. If a circle drawn with the diameter equal to the length of the trian

Algebra ->  Pythagorean-theorem -> SOLUTION: May you please help me with this and explain ,thank you .A triangle has an area of 15 cm² and the base of 5 cm. If a circle drawn with the diameter equal to the length of the trian      Log On


   



Question 891785: May you please help me with this and explain ,thank you .A triangle has an area of 15 cm² and the base of 5 cm. If a circle drawn with the diameter equal to the length of the triangles height, what is the area of the circle?
A 6 pie centimeters squared
B 9 pie centimeters squared
C 12 pie centimeters squared
D 18 pie centimeters squared
E 36 pie centimeters squared

Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the triangle is
+%281%2F2%29%2Ab%2Ah++=+%281%2F2%29%2A5%2Ah+ cm2
given:
+%281%2F2%29%2A5%2Ah+=+15+ cm2
+5h+=+30+
+h+=+6+
-----------
The diameter of the circle equals this height, so
+d+=+6+
and the radius is half of this, so,
+r+=+3+
----------
The area of the circle is
+A+=+pi%2Ar%5E2+
+A+=+pi%2A3%5E2+
+A+=+9%2Api+
The answer is (B)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's the Greek letter pi.
Not the dessert, pie.