greatwhiteshark
Full Member
- Joined
- May 8, 2005
- Messages
- 279
Find area of the shaded region enclosed in a semicircle of diameter 8cm. The length of chord AB is 6cm. HINT: Triangle ABC is a right triangle.
MY WORK:
Area of triangle ABC - Area of semicircle
I first needed to find chord BC using the Pythagorean Theorem.
I found BC = 2(sqrt7)
I then used A = 1/2 times base times height to find the area of triangle ABC.
Area of triangle ABC = 6(sqrt7)
Area of semicircle = 1/2 times 3.14 times 4^2
A = 8PI
I then subtracted area of semicircle from area of triangle ABC and got 9.24 square cm. The book's answer is 9.26sq. cm. What am I doing wrong?
MY WORK:
Area of triangle ABC - Area of semicircle
I first needed to find chord BC using the Pythagorean Theorem.
I found BC = 2(sqrt7)
I then used A = 1/2 times base times height to find the area of triangle ABC.
Area of triangle ABC = 6(sqrt7)
Area of semicircle = 1/2 times 3.14 times 4^2
A = 8PI
I then subtracted area of semicircle from area of triangle ABC and got 9.24 square cm. The book's answer is 9.26sq. cm. What am I doing wrong?