(02a
A triangular region is inscribed in a semi-circle with center O as shown in the figure below. Find the area
of the shaded region.
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EN
TI
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S
BUD
TE
TEL
ES-
BER
TEE
CA
cm
Area of the shaded region=1 cm?
Answers
Given:
A triangular region is inscribed in a semi-circle with center O as shown in the figure below.
To find:
Find the area of the shaded region.
Solution:
Consider the attached figure while going through the following steps.
The diameter of the semicircle = AB = 42 cm
⇒ The radius of the semicircle = OA = OB = OC = AB/2 = 42/2 = 21 cm
Area of shaded portion = Area of semicircle - Area of triangle
= π × r²/2 - 1/2 × b × h
= π × OA²/2 - 1/2 × AB × OC
= 22/7 × 21²/2 - 1/2 × 42 × 21
= 11 × 63 - 21 × 21
= 693 - 441
= 252 cm²
Therefore, the area of the shaded region is 252 cm²
Answer:
77 cm2
Step-by-step explanation:
0 = radius = 7cm = height
base = 14 cm
area of a triangle:
1/2*base*height
=1/2*14*7
=49 cm 2
area of a semicircle:
1/2*pie*radius square
=1/2*22/7*7 square
=1/2*22/7*49
=77 cm 2