Find the area common to the circles and .
A) 7
E) -72 + 36

Question

Find the area common to the circles  and  .
A) 7 
E) -72 + 36

Quizplus · Accepted Answer

The two circles have the same center, so their intersection is another circle with radius equal to half of the radius of one of the original circles. We can find this radius by dividing the given radius (11ead0bc_8e6d_f087_99a0_c973c457e63a_TB6988_11) by 2:
11ead0bc_8e6d_f087_99a0_c973c457e63a_TB6988_11/2 = 5.5ead0bc_8e6e_179b_99a0_145722ca3fa7_TB6988_11
The area of this circle is:
π(5.5ead0bc_8e6e_179b_99a0_145722ca3fa7_TB6988_11)^2 = 95.03 (approximately)
Therefore, the answer is C, 11ead0bc_8e6e_179b_99a0_1d8455776727_TB6988_11.

Find the Area Common to the Circles and