Please help! I don’t get it much

9514 1404 393

  ∠BDC = 46°

Step-by-step explanation:

Angle BDC intercepts arc BC, identified as having a measure of 92°. The angle's vertex, point D, is on the circle, so the angle is called an "inscribed angle." The measure of an inscribed angle is half the measure of the arc it intercepts.

  ∠BDC = (1/2)arc BC = 1/2(92°)

  ∠BDC = 46°

7cm

Step-by-step explanation:

Area of rectangle: length × breadth

14cm × 11cm= 154cm²

Area of a circle: r²

× r × r= 154cm²

x r²= 154cm²

r²= 154 x

r²= 49

r= √49

r= 7