Two small circles are drawn that touch each other, and both circles touch the large circle.
the figure shows two circles of same radius inscribed in a larger circle. the two circles are drawn such that both touch the circle as well as each other without overlapping. the radius of both the circles inscribed in the larger circle is labeled as 7 inches. the region inside the circle not covered by the two circles is shaded.
which is closest to the area of the shaded region?
a.
615 square inches
b.
462 square inches
c.
88 square inches
d.
308 square inches

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solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

0.32

step-by-step explanation:

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