# Arc of Circle

## Radius of Circle of New Atom Smasher

**Problem**

A new kind of atom smasher is to be composed of two tangents and a circular arc which is concave toward the point of intersection of the two tangents. Each tangent and the arc of the circle is 1 mile long, what is the radius of the circle? Use 1 mile = 5280 ft.

A. 1437 ft. | C. 1347 ft. |

B. 1734 ft. | D. 1374 ft. |

## 10 Swimming pool in the shape of two intersecting circles

**Situation**

A swimming pool is shaped from two intersecting circles 9 m in radius with their centers 9 m apart.

Part 1: What is the area common to the two circles?

A. 85.2 m^{2}

B. 63.7 m^{2}

C. 128.7 m^{2}

D. 99.5 m^{2}

Part 2: What is the total water surface area?

A. 409.4 m^{2}

B. 524.3 m^{2}

C. 387.3 m^{2}

D. 427.5 m^{2}

Part 3: What is the perimeter of the pool, in meters?

A. 63.5 m

B. 75.4 m

C. 82.4 m

D. 96.3 m